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Finding the Fourth Proportional to 18,772.50, 28,147.82 and 8,242.10

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Solution

The fourth proportional to 18,772.50, 28,147.82 and 8,242.10 is: 12,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,772.50 : 28,147.82 = 8,242.10 : x
  2. Step 2: Convert to fraction form
    18,772.50/28,147.82 = 8,242.10/x
  3. Step 3: Cross multiply
    18,772.50x = 28,147.82 × 8,242.10
  4. Step 4: Simplify right side
    18,772.50x = 231,996,965.27
  5. Step 5: Solve for x
    x = 231,996,965.27/18,772.50
  6. Step 6: Final answer
    x = 12,358.34

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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.