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Finding the Fourth Proportional to 39,138, 58,715.64 and 14,514

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Solution

The fourth proportional to 39,138, 58,715.64 and 14,514 is: 21,774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,138 : 58,715.64 = 14,514 : x
  2. Step 2: Convert to fraction form
    39,138/58,715.64 = 14,514/x
  3. Step 3: Cross multiply
    39,138x = 58,715.64 × 14,514
  4. Step 4: Simplify right side
    39,138x = 852,198,798.96
  5. Step 5: Solve for x
    x = 852,198,798.96/39,138
  6. Step 6: Final answer
    x = 21,774.20

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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.