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Finding the Fourth Proportional to 22,720, 34,077.78 and 7,134.88

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Solution

The fourth proportional to 22,720, 34,077.78 and 7,134.88 is: 10,701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,720 : 34,077.78 = 7,134.88 : x
  2. Step 2: Convert to fraction form
    22,720/34,077.78 = 7,134.88/x
  3. Step 3: Cross multiply
    22,720x = 34,077.78 × 7,134.88
  4. Step 4: Simplify right side
    22,720x = 243,140,870.97
  5. Step 5: Solve for x
    x = 243,140,870.97/22,720
  6. Step 6: Final answer
    x = 10,701.62

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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.