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Finding the Fourth Proportional to 9,897.99, 13,659.11 and 5,421.69

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Solution

The fourth proportional to 9,897.99, 13,659.11 and 5,421.69 is: 7,481.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.99 : 13,659.11 = 5,421.69 : x
  2. Step 2: Convert to fraction form
    9,897.99/13,659.11 = 5,421.69/x
  3. Step 3: Cross multiply
    9,897.99x = 13,659.11 × 5,421.69
  4. Step 4: Simplify right side
    9,897.99x = 74,055,432.99
  5. Step 5: Solve for x
    x = 74,055,432.99/9,897.99
  6. Step 6: Final answer
    x = 7,481.87

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Half scale
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Double scale
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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.