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Finding the Fourth Proportional to 21,666.57, 32,495.16 and 12,654.66

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Solution

The fourth proportional to 21,666.57, 32,495.16 and 12,654.66 is: 18,979.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,666.57 : 32,495.16 = 12,654.66 : x
  2. Step 2: Convert to fraction form
    21,666.57/32,495.16 = 12,654.66/x
  3. Step 3: Cross multiply
    21,666.57x = 32,495.16 × 12,654.66
  4. Step 4: Simplify right side
    21,666.57x = 411,215,201.45
  5. Step 5: Solve for x
    x = 411,215,201.45/21,666.57
  6. Step 6: Final answer
    x = 18,979.25

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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.