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Finding the Fourth Proportional to 5,648.87, 8,470.03 and 2,139.15

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Solution

The fourth proportional to 5,648.87, 8,470.03 and 2,139.15 is: 3,207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.87 : 8,470.03 = 2,139.15 : x
  2. Step 2: Convert to fraction form
    5,648.87/8,470.03 = 2,139.15/x
  3. Step 3: Cross multiply
    5,648.87x = 8,470.03 × 2,139.15
  4. Step 4: Simplify right side
    5,648.87x = 18,118,664.67
  5. Step 5: Solve for x
    x = 18,118,664.67/5,648.87
  6. Step 6: Final answer
    x = 3,207.48

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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.