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Finding the Fourth Proportional to 27,123, 40,691.25 and 14,637.66

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Solution

The fourth proportional to 27,123, 40,691.25 and 14,637.66 is: 21,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,123 : 40,691.25 = 14,637.66 : x
  2. Step 2: Convert to fraction form
    27,123/40,691.25 = 14,637.66/x
  3. Step 3: Cross multiply
    27,123x = 40,691.25 × 14,637.66
  4. Step 4: Simplify right side
    27,123x = 595,624,682.48
  5. Step 5: Solve for x
    x = 595,624,682.48/27,123
  6. Step 6: Final answer
    x = 21,960.13

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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.