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Finding the Fourth Proportional to 10,457.52, 15,677.91 and 5,457.39

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Solution

The fourth proportional to 10,457.52, 15,677.91 and 5,457.39 is: 8,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.52 : 15,677.91 = 5,457.39 : x
  2. Step 2: Convert to fraction form
    10,457.52/15,677.91 = 5,457.39/x
  3. Step 3: Cross multiply
    10,457.52x = 15,677.91 × 5,457.39
  4. Step 4: Simplify right side
    10,457.52x = 85,560,469.25
  5. Step 5: Solve for x
    x = 85,560,469.25/10,457.52
  6. Step 6: Final answer
    x = 8,181.72

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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.