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Finding the Fourth Proportional to 6,875.28, 9,487.32 and 3,891.42

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Solution

The fourth proportional to 6,875.28, 9,487.32 and 3,891.42 is: 5,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.28 : 9,487.32 = 3,891.42 : x
  2. Step 2: Convert to fraction form
    6,875.28/9,487.32 = 3,891.42/x
  3. Step 3: Cross multiply
    6,875.28x = 9,487.32 × 3,891.42
  4. Step 4: Simplify right side
    6,875.28x = 36,919,146.79
  5. Step 5: Solve for x
    x = 36,919,146.79/6,875.28
  6. Step 6: Final answer
    x = 5,369.84

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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.