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Finding the Fourth Proportional to 7,642.38, 11,462.76 and 5,411.91

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Solution

The fourth proportional to 7,642.38, 11,462.76 and 5,411.91 is: 8,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.38 : 11,462.76 = 5,411.91 : x
  2. Step 2: Convert to fraction form
    7,642.38/11,462.76 = 5,411.91/x
  3. Step 3: Cross multiply
    7,642.38x = 11,462.76 × 5,411.91
  4. Step 4: Simplify right side
    7,642.38x = 62,035,425.47
  5. Step 5: Solve for x
    x = 62,035,425.47/7,642.38
  6. Step 6: Final answer
    x = 8,117.29

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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.