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Finding the Fourth Proportional to 9,659.96, 13,330.80 and 5,681.24

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Solution

The fourth proportional to 9,659.96, 13,330.80 and 5,681.24 is: 7,840.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.96 : 13,330.80 = 5,681.24 : x
  2. Step 2: Convert to fraction form
    9,659.96/13,330.80 = 5,681.24/x
  3. Step 3: Cross multiply
    9,659.96x = 13,330.80 × 5,681.24
  4. Step 4: Simplify right side
    9,659.96x = 75,735,474.19
  5. Step 5: Solve for x
    x = 75,735,474.19/9,659.96
  6. Step 6: Final answer
    x = 7,840.14

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Half scale
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Double scale
Find fourth proportional to 9,660.96, 13,332.18 and 5,682.24
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.