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Finding the Fourth Proportional to 7,175.68, 10,773.12 and 6,942.40

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Solution

The fourth proportional to 7,175.68, 10,773.12 and 6,942.40 is: 10,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.68 : 10,773.12 = 6,942.40 : x
  2. Step 2: Convert to fraction form
    7,175.68/10,773.12 = 6,942.40/x
  3. Step 3: Cross multiply
    7,175.68x = 10,773.12 × 6,942.40
  4. Step 4: Simplify right side
    7,175.68x = 74,791,308.29
  5. Step 5: Solve for x
    x = 74,791,308.29/7,175.68
  6. Step 6: Final answer
    x = 10,422.89

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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.