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Finding the Fourth Proportional to 18,929.76, 28,398.78 and 5,781.80

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Solution

The fourth proportional to 18,929.76, 28,398.78 and 5,781.80 is: 8,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,929.76 : 28,398.78 = 5,781.80 : x
  2. Step 2: Convert to fraction form
    18,929.76/28,398.78 = 5,781.80/x
  3. Step 3: Cross multiply
    18,929.76x = 28,398.78 × 5,781.80
  4. Step 4: Simplify right side
    18,929.76x = 164,195,924.21
  5. Step 5: Solve for x
    x = 164,195,924.21/18,929.76
  6. Step 6: Final answer
    x = 8,673.96

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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.