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Finding the Fourth Proportional to 20,478.69, 30,718.85 and 5,687.69

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Solution

The fourth proportional to 20,478.69, 30,718.85 and 5,687.69 is: 8,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.69 : 30,718.85 = 5,687.69 : x
  2. Step 2: Convert to fraction form
    20,478.69/30,718.85 = 5,687.69/x
  3. Step 3: Cross multiply
    20,478.69x = 30,718.85 × 5,687.69
  4. Step 4: Simplify right side
    20,478.69x = 174,719,113.92
  5. Step 5: Solve for x
    x = 174,719,113.92/20,478.69
  6. Step 6: Final answer
    x = 8,531.75

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1.5x scale

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.