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Finding the Fourth Proportional to 15,105.04, 22,652.15 and 5,742.56

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Solution

The fourth proportional to 15,105.04, 22,652.15 and 5,742.56 is: 8,611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,105.04 : 22,652.15 = 5,742.56 : x
  2. Step 2: Convert to fraction form
    15,105.04/22,652.15 = 5,742.56/x
  3. Step 3: Cross multiply
    15,105.04x = 22,652.15 × 5,742.56
  4. Step 4: Simplify right side
    15,105.04x = 130,081,330.50
  5. Step 5: Solve for x
    x = 130,081,330.50/15,105.04
  6. Step 6: Final answer
    x = 8,611.78

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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.