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Finding the Fourth Proportional to 19,932, 29,883.02 and 12,037.20

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Solution

The fourth proportional to 19,932, 29,883.02 and 12,037.20 is: 18,046.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,932 : 29,883.02 = 12,037.20 : x
  2. Step 2: Convert to fraction form
    19,932/29,883.02 = 12,037.20/x
  3. Step 3: Cross multiply
    19,932x = 29,883.02 × 12,037.20
  4. Step 4: Simplify right side
    19,932x = 359,707,828.16
  5. Step 5: Solve for x
    x = 359,707,828.16/19,932
  6. Step 6: Final answer
    x = 18,046.75

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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.