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Finding the Fourth Proportional to 5,649.60, 8,474.40 and 5,187.90

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Solution

The fourth proportional to 5,649.60, 8,474.40 and 5,187.90 is: 7,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.60 : 8,474.40 = 5,187.90 : x
  2. Step 2: Convert to fraction form
    5,649.60/8,474.40 = 5,187.90/x
  3. Step 3: Cross multiply
    5,649.60x = 8,474.40 × 5,187.90
  4. Step 4: Simplify right side
    5,649.60x = 43,964,339.76
  5. Step 5: Solve for x
    x = 43,964,339.76/5,649.60
  6. Step 6: Final answer
    x = 7,781.85

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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.