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Finding the Fourth Proportional to 19,773.40, 29,660.10 and 8,083.88

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Solution

The fourth proportional to 19,773.40, 29,660.10 and 8,083.88 is: 12,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773.40 : 29,660.10 = 8,083.88 : x
  2. Step 2: Convert to fraction form
    19,773.40/29,660.10 = 8,083.88/x
  3. Step 3: Cross multiply
    19,773.40x = 29,660.10 × 8,083.88
  4. Step 4: Simplify right side
    19,773.40x = 239,768,689.19
  5. Step 5: Solve for x
    x = 239,768,689.19/19,773.40
  6. Step 6: Final answer
    x = 12,125.82

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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.