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Finding the Fourth Proportional to 39,874.86, 59,820.15 and 11,412.08

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Solution

The fourth proportional to 39,874.86, 59,820.15 and 11,412.08 is: 17,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,874.86 : 59,820.15 = 11,412.08 : x
  2. Step 2: Convert to fraction form
    39,874.86/59,820.15 = 11,412.08/x
  3. Step 3: Cross multiply
    39,874.86x = 59,820.15 × 11,412.08
  4. Step 4: Simplify right side
    39,874.86x = 682,672,305.43
  5. Step 5: Solve for x
    x = 682,672,305.43/39,874.86
  6. Step 6: Final answer
    x = 17,120.37

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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.