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Finding the Fourth Proportional to 38,790.78, 58,149.06 and 12,477

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Solution

The fourth proportional to 38,790.78, 58,149.06 and 12,477 is: 18,703.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,790.78 : 58,149.06 = 12,477 : x
  2. Step 2: Convert to fraction form
    38,790.78/58,149.06 = 12,477/x
  3. Step 3: Cross multiply
    38,790.78x = 58,149.06 × 12,477
  4. Step 4: Simplify right side
    38,790.78x = 725,525,821.62
  5. Step 5: Solve for x
    x = 725,525,821.62/38,790.78
  6. Step 6: Final answer
    x = 18,703.56

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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.