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Finding the Fourth Proportional to 29,686.80, 44,508.60 and 12,147.60

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Solution

The fourth proportional to 29,686.80, 44,508.60 and 12,147.60 is: 18,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,686.80 : 44,508.60 = 12,147.60 : x
  2. Step 2: Convert to fraction form
    29,686.80/44,508.60 = 12,147.60/x
  3. Step 3: Cross multiply
    29,686.80x = 44,508.60 × 12,147.60
  4. Step 4: Simplify right side
    29,686.80x = 540,672,669.36
  5. Step 5: Solve for x
    x = 540,672,669.36/29,686.80
  6. Step 6: Final answer
    x = 18,212.56

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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.