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Finding the Fourth Proportional to 10,765.71, 14,854.59 and 6,988.59

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Solution

The fourth proportional to 10,765.71, 14,854.59 and 6,988.59 is: 9,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.71 : 14,854.59 = 6,988.59 : x
  2. Step 2: Convert to fraction form
    10,765.71/14,854.59 = 6,988.59/x
  3. Step 3: Cross multiply
    10,765.71x = 14,854.59 × 6,988.59
  4. Step 4: Simplify right side
    10,765.71x = 103,812,639.13
  5. Step 5: Solve for x
    x = 103,812,639.13/10,765.71
  6. Step 6: Final answer
    x = 9,642.90

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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.