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Finding the Fourth Proportional to 22,768, 34,167.42 and 7,977.04

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Solution

The fourth proportional to 22,768, 34,167.42 and 7,977.04 is: 11,970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,768 : 34,167.42 = 7,977.04 : x
  2. Step 2: Convert to fraction form
    22,768/34,167.42 = 7,977.04/x
  3. Step 3: Cross multiply
    22,768x = 34,167.42 × 7,977.04
  4. Step 4: Simplify right side
    22,768x = 272,554,876.04
  5. Step 5: Solve for x
    x = 272,554,876.04/22,768
  6. Step 6: Final answer
    x = 11,970.96

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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.