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Finding the Fourth Proportional to 7,711.08, 11,572.71 and 3,962.71

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Solution

The fourth proportional to 7,711.08, 11,572.71 and 3,962.71 is: 5,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.08 : 11,572.71 = 3,962.71 : x
  2. Step 2: Convert to fraction form
    7,711.08/11,572.71 = 3,962.71/x
  3. Step 3: Cross multiply
    7,711.08x = 11,572.71 × 3,962.71
  4. Step 4: Simplify right side
    7,711.08x = 45,859,293.25
  5. Step 5: Solve for x
    x = 45,859,293.25/7,711.08
  6. Step 6: Final answer
    x = 5,947.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.