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Finding the Fourth Proportional to 20,657.25, 28,494 and 16,475.49

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Solution

The fourth proportional to 20,657.25, 28,494 and 16,475.49 is: 22,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.25 : 28,494 = 16,475.49 : x
  2. Step 2: Convert to fraction form
    20,657.25/28,494 = 16,475.49/x
  3. Step 3: Cross multiply
    20,657.25x = 28,494 × 16,475.49
  4. Step 4: Simplify right side
    20,657.25x = 469,452,612.06
  5. Step 5: Solve for x
    x = 469,452,612.06/20,657.25
  6. Step 6: Final answer
    x = 22,725.80

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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.