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Finding the Fourth Proportional to 7,132.92, 9,846.14 and 6,385.50

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Solution

The fourth proportional to 7,132.92, 9,846.14 and 6,385.50 is: 8,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.92 : 9,846.14 = 6,385.50 : x
  2. Step 2: Convert to fraction form
    7,132.92/9,846.14 = 6,385.50/x
  3. Step 3: Cross multiply
    7,132.92x = 9,846.14 × 6,385.50
  4. Step 4: Simplify right side
    7,132.92x = 62,872,526.97
  5. Step 5: Solve for x
    x = 62,872,526.97/7,132.92
  6. Step 6: Final answer
    x = 8,814.42

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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.