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Finding the Fourth Proportional to 6,885.62, 9,501.96 and 3,902.42

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Solution

The fourth proportional to 6,885.62, 9,501.96 and 3,902.42 is: 5,385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.62 : 9,501.96 = 3,902.42 : x
  2. Step 2: Convert to fraction form
    6,885.62/9,501.96 = 3,902.42/x
  3. Step 3: Cross multiply
    6,885.62x = 9,501.96 × 3,902.42
  4. Step 4: Simplify right side
    6,885.62x = 37,080,677.13
  5. Step 5: Solve for x
    x = 37,080,677.13/6,885.62
  6. Step 6: Final answer
    x = 5,385.23

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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.