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Finding the Fourth Proportional to 6,874.78, 9,487.25 and 3,730.98

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Solution

The fourth proportional to 6,874.78, 9,487.25 and 3,730.98 is: 5,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.78 : 9,487.25 = 3,730.98 : x
  2. Step 2: Convert to fraction form
    6,874.78/9,487.25 = 3,730.98/x
  3. Step 3: Cross multiply
    6,874.78x = 9,487.25 × 3,730.98
  4. Step 4: Simplify right side
    6,874.78x = 35,396,740.01
  5. Step 5: Solve for x
    x = 35,396,740.01/6,874.78
  6. Step 6: Final answer
    x = 5,148.78

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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.