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Finding the Fourth Proportional to 20,902, 31,343.58 and 15,034

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Solution

The fourth proportional to 20,902, 31,343.58 and 15,034 is: 22,544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902 : 31,343.58 = 15,034 : x
  2. Step 2: Convert to fraction form
    20,902/31,343.58 = 15,034/x
  3. Step 3: Cross multiply
    20,902x = 31,343.58 × 15,034
  4. Step 4: Simplify right side
    20,902x = 471,219,381.72
  5. Step 5: Solve for x
    x = 471,219,381.72/20,902
  6. Step 6: Final answer
    x = 22,544.22

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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.