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Finding the Fourth Proportional to 39,379.20, 59,047.20 and 14,415

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Solution

The fourth proportional to 39,379.20, 59,047.20 and 14,415 is: 21,614.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,379.20 : 59,047.20 = 14,415 : x
  2. Step 2: Convert to fraction form
    39,379.20/59,047.20 = 14,415/x
  3. Step 3: Cross multiply
    39,379.20x = 59,047.20 × 14,415
  4. Step 4: Simplify right side
    39,379.20x = 851,165,388
  5. Step 5: Solve for x
    x = 851,165,388/39,379.20
  6. Step 6: Final answer
    x = 21,614.59

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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.