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Finding the Fourth Proportional to 13,487.74, 18,612.20 and 7,822.04

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Solution

The fourth proportional to 13,487.74, 18,612.20 and 7,822.04 is: 10,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,487.74 : 18,612.20 = 7,822.04 : x
  2. Step 2: Convert to fraction form
    13,487.74/18,612.20 = 7,822.04/x
  3. Step 3: Cross multiply
    13,487.74x = 18,612.20 × 7,822.04
  4. Step 4: Simplify right side
    13,487.74x = 145,585,299.38
  5. Step 5: Solve for x
    x = 145,585,299.38/13,487.74
  6. Step 6: Final answer
    x = 10,793.90

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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.