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Finding the Fourth Proportional to 20,423, 30,641.80 and 10,042.04

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Solution

The fourth proportional to 20,423, 30,641.80 and 10,042.04 is: 15,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,423 : 30,641.80 = 10,042.04 : x
  2. Step 2: Convert to fraction form
    20,423/30,641.80 = 10,042.04/x
  3. Step 3: Cross multiply
    20,423x = 30,641.80 × 10,042.04
  4. Step 4: Simplify right side
    20,423x = 307,706,181.27
  5. Step 5: Solve for x
    x = 307,706,181.27/20,423
  6. Step 6: Final answer
    x = 15,066.65

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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.