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Finding the Fourth Proportional to 20,468.72, 30,703.13 and 5,678.43

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Solution

The fourth proportional to 20,468.72, 30,703.13 and 5,678.43 is: 8,517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,468.72 : 30,703.13 = 5,678.43 : x
  2. Step 2: Convert to fraction form
    20,468.72/30,703.13 = 5,678.43/x
  3. Step 3: Cross multiply
    20,468.72x = 30,703.13 × 5,678.43
  4. Step 4: Simplify right side
    20,468.72x = 174,345,574.49
  5. Step 5: Solve for x
    x = 174,345,574.49/20,468.72
  6. Step 6: Final answer
    x = 8,517.66

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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.