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Finding the Fourth Proportional to 16,762.70, 25,129.17 and 8,431.82

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Solution

The fourth proportional to 16,762.70, 25,129.17 and 8,431.82 is: 12,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,762.70 : 25,129.17 = 8,431.82 : x
  2. Step 2: Convert to fraction form
    16,762.70/25,129.17 = 8,431.82/x
  3. Step 3: Cross multiply
    16,762.70x = 25,129.17 × 8,431.82
  4. Step 4: Simplify right side
    16,762.70x = 211,884,638.19
  5. Step 5: Solve for x
    x = 211,884,638.19/16,762.70
  6. Step 6: Final answer
    x = 12,640.25

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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.