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Finding the Fourth Proportional to 16,762, 23,129.82 and 9,690.68

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Solution

The fourth proportional to 16,762, 23,129.82 and 9,690.68 is: 13,372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,762 : 23,129.82 = 9,690.68 : x
  2. Step 2: Convert to fraction form
    16,762/23,129.82 = 9,690.68/x
  3. Step 3: Cross multiply
    16,762x = 23,129.82 × 9,690.68
  4. Step 4: Simplify right side
    16,762x = 224,143,684.08
  5. Step 5: Solve for x
    x = 224,143,684.08/16,762
  6. Step 6: Final answer
    x = 13,372.13

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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.