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Finding the Fourth Proportional to 15,134.40, 22,709.70 and 6,815.70

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Solution

The fourth proportional to 15,134.40, 22,709.70 and 6,815.70 is: 10,227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,134.40 : 22,709.70 = 6,815.70 : x
  2. Step 2: Convert to fraction form
    15,134.40/22,709.70 = 6,815.70/x
  3. Step 3: Cross multiply
    15,134.40x = 22,709.70 × 6,815.70
  4. Step 4: Simplify right side
    15,134.40x = 154,782,502.29
  5. Step 5: Solve for x
    x = 154,782,502.29/15,134.40
  6. Step 6: Final answer
    x = 10,227.20

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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.