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Finding the Fourth Proportional to 20,643.84, 30,965.90 and 5,061.47

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Solution

The fourth proportional to 20,643.84, 30,965.90 and 5,061.47 is: 7,592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,643.84 : 30,965.90 = 5,061.47 : x
  2. Step 2: Convert to fraction form
    20,643.84/30,965.90 = 5,061.47/x
  3. Step 3: Cross multiply
    20,643.84x = 30,965.90 × 5,061.47
  4. Step 4: Simplify right side
    20,643.84x = 156,732,793.74
  5. Step 5: Solve for x
    x = 156,732,793.74/20,643.84
  6. Step 6: Final answer
    x = 7,592.23

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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.