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Finding the Fourth Proportional to 20,419, 30,635.80 and 10,038.04

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Solution

The fourth proportional to 20,419, 30,635.80 and 10,038.04 is: 15,060.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,419 : 30,635.80 = 10,038.04 : x
  2. Step 2: Convert to fraction form
    20,419/30,635.80 = 10,038.04/x
  3. Step 3: Cross multiply
    20,419x = 30,635.80 × 10,038.04
  4. Step 4: Simplify right side
    20,419x = 307,523,385.83
  5. Step 5: Solve for x
    x = 307,523,385.83/20,419
  6. Step 6: Final answer
    x = 15,060.65

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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.