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Finding the Fourth Proportional to 6,872.40, 10,306.20 and 3,584.40

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Solution

The fourth proportional to 6,872.40, 10,306.20 and 3,584.40 is: 5,375.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.40 : 10,306.20 = 3,584.40 : x
  2. Step 2: Convert to fraction form
    6,872.40/10,306.20 = 3,584.40/x
  3. Step 3: Cross multiply
    6,872.40x = 10,306.20 × 3,584.40
  4. Step 4: Simplify right side
    6,872.40x = 36,941,543.28
  5. Step 5: Solve for x
    x = 36,941,543.28/6,872.40
  6. Step 6: Final answer
    x = 5,375.35

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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.