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Finding the Fourth Proportional to 5,687.60, 8,537.80 and 4,394.80

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Solution

The fourth proportional to 5,687.60, 8,537.80 and 4,394.80 is: 6,597.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.60 : 8,537.80 = 4,394.80 : x
  2. Step 2: Convert to fraction form
    5,687.60/8,537.80 = 4,394.80/x
  3. Step 3: Cross multiply
    5,687.60x = 8,537.80 × 4,394.80
  4. Step 4: Simplify right side
    5,687.60x = 37,521,923.44
  5. Step 5: Solve for x
    x = 37,521,923.44/5,687.60
  6. Step 6: Final answer
    x = 6,597.15

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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.