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Finding the Fourth Proportional to 5,470.87, 8,186.86 and 4,006.39

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Solution

The fourth proportional to 5,470.87, 8,186.86 and 4,006.39 is: 5,995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.87 : 8,186.86 = 4,006.39 : x
  2. Step 2: Convert to fraction form
    5,470.87/8,186.86 = 4,006.39/x
  3. Step 3: Cross multiply
    5,470.87x = 8,186.86 × 4,006.39
  4. Step 4: Simplify right side
    5,470.87x = 32,799,754.04
  5. Step 5: Solve for x
    x = 32,799,754.04/5,470.87
  6. Step 6: Final answer
    x = 5,995.35

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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.