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Finding the Fourth Proportional to 29,976.80, 44,929.20 and 12,437.60

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Solution

The fourth proportional to 29,976.80, 44,929.20 and 12,437.60 is: 18,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,976.80 : 44,929.20 = 12,437.60 : x
  2. Step 2: Convert to fraction form
    29,976.80/44,929.20 = 12,437.60/x
  3. Step 3: Cross multiply
    29,976.80x = 44,929.20 × 12,437.60
  4. Step 4: Simplify right side
    29,976.80x = 558,811,417.92
  5. Step 5: Solve for x
    x = 558,811,417.92/29,976.80
  6. Step 6: Final answer
    x = 18,641.46

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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.