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Finding the Fourth Proportional to 3,617.52, 4,987.80 and 3,057

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Solution

The fourth proportional to 3,617.52, 4,987.80 and 3,057 is: 4,214.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.52 : 4,987.80 = 3,057 : x
  2. Step 2: Convert to fraction form
    3,617.52/4,987.80 = 3,057/x
  3. Step 3: Cross multiply
    3,617.52x = 4,987.80 × 3,057
  4. Step 4: Simplify right side
    3,617.52x = 15,247,704.60
  5. Step 5: Solve for x
    x = 15,247,704.60/3,617.52
  6. Step 6: Final answer
    x = 4,214.96

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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.