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Finding the Fourth Proportional to 10,487.75, 14,470.71 and 7,656.66

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Solution

The fourth proportional to 10,487.75, 14,470.71 and 7,656.66 is: 10,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.75 : 14,470.71 = 7,656.66 : x
  2. Step 2: Convert to fraction form
    10,487.75/14,470.71 = 7,656.66/x
  3. Step 3: Cross multiply
    10,487.75x = 14,470.71 × 7,656.66
  4. Step 4: Simplify right side
    10,487.75x = 110,797,306.43
  5. Step 5: Solve for x
    x = 110,797,306.43/10,487.75
  6. Step 6: Final answer
    x = 10,564.45

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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.