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Finding the Fourth Proportional to 9,659.90, 13,330.85 and 5,883.21

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Solution

The fourth proportional to 9,659.90, 13,330.85 and 5,883.21 is: 8,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.90 : 13,330.85 = 5,883.21 : x
  2. Step 2: Convert to fraction form
    9,659.90/13,330.85 = 5,883.21/x
  3. Step 3: Cross multiply
    9,659.90x = 13,330.85 × 5,883.21
  4. Step 4: Simplify right side
    9,659.90x = 78,428,160.61
  5. Step 5: Solve for x
    x = 78,428,160.61/9,659.90
  6. Step 6: Final answer
    x = 8,118.94

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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.