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Finding the Fourth Proportional to 6,872.40, 10,308.60 and 6,337.80

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Solution

The fourth proportional to 6,872.40, 10,308.60 and 6,337.80 is: 9,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.40 : 10,308.60 = 6,337.80 : x
  2. Step 2: Convert to fraction form
    6,872.40/10,308.60 = 6,337.80/x
  3. Step 3: Cross multiply
    6,872.40x = 10,308.60 × 6,337.80
  4. Step 4: Simplify right side
    6,872.40x = 65,333,845.08
  5. Step 5: Solve for x
    x = 65,333,845.08/6,872.40
  6. Step 6: Final answer
    x = 9,506.70

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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.