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Finding the Fourth Proportional to 19,788.71, 29,689.16 and 8,102.84

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Solution

The fourth proportional to 19,788.71, 29,689.16 and 8,102.84 is: 12,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,788.71 : 29,689.16 = 8,102.84 : x
  2. Step 2: Convert to fraction form
    19,788.71/29,689.16 = 8,102.84/x
  3. Step 3: Cross multiply
    19,788.71x = 29,689.16 × 8,102.84
  4. Step 4: Simplify right side
    19,788.71x = 240,566,324.25
  5. Step 5: Solve for x
    x = 240,566,324.25/19,788.71
  6. Step 6: Final answer
    x = 12,156.75

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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.