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Finding the Fourth Proportional to 8,457.48, 12,691.08 and 4,565.16

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Solution

The fourth proportional to 8,457.48, 12,691.08 and 4,565.16 is: 6,850.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.48 : 12,691.08 = 4,565.16 : x
  2. Step 2: Convert to fraction form
    8,457.48/12,691.08 = 4,565.16/x
  3. Step 3: Cross multiply
    8,457.48x = 12,691.08 × 4,565.16
  4. Step 4: Simplify right side
    8,457.48x = 57,936,810.77
  5. Step 5: Solve for x
    x = 57,936,810.77/8,457.48
  6. Step 6: Final answer
    x = 6,850.36

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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.