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Finding the Fourth Proportional to 19,898.76, 29,788.92 and 12,865.14

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Solution

The fourth proportional to 19,898.76, 29,788.92 and 12,865.14 is: 19,259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,898.76 : 29,788.92 = 12,865.14 : x
  2. Step 2: Convert to fraction form
    19,898.76/29,788.92 = 12,865.14/x
  3. Step 3: Cross multiply
    19,898.76x = 29,788.92 × 12,865.14
  4. Step 4: Simplify right side
    19,898.76x = 383,238,626.25
  5. Step 5: Solve for x
    x = 383,238,626.25/19,898.76
  6. Step 6: Final answer
    x = 19,259.42

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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.