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Finding the Fourth Proportional to 20,575.92, 28,423.80 and 16,378.80

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Solution

The fourth proportional to 20,575.92, 28,423.80 and 16,378.80 is: 22,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.92 : 28,423.80 = 16,378.80 : x
  2. Step 2: Convert to fraction form
    20,575.92/28,423.80 = 16,378.80/x
  3. Step 3: Cross multiply
    20,575.92x = 28,423.80 × 16,378.80
  4. Step 4: Simplify right side
    20,575.92x = 465,547,735.44
  5. Step 5: Solve for x
    x = 465,547,735.44/20,575.92
  6. Step 6: Final answer
    x = 22,625.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.