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Finding the Fourth Proportional to 10,229.20, 15,343.80 and 10,164.40

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Solution

The fourth proportional to 10,229.20, 15,343.80 and 10,164.40 is: 15,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.20 : 15,343.80 = 10,164.40 : x
  2. Step 2: Convert to fraction form
    10,229.20/15,343.80 = 10,164.40/x
  3. Step 3: Cross multiply
    10,229.20x = 15,343.80 × 10,164.40
  4. Step 4: Simplify right side
    10,229.20x = 155,960,520.72
  5. Step 5: Solve for x
    x = 155,960,520.72/10,229.20
  6. Step 6: Final answer
    x = 15,246.60

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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.