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Finding the Fourth Proportional to 2,387.59, 3,580.36 and 744.27

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Solution

The fourth proportional to 2,387.59, 3,580.36 and 744.27 is: 1,116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.59 : 3,580.36 = 744.27 : x
  2. Step 2: Convert to fraction form
    2,387.59/3,580.36 = 744.27/x
  3. Step 3: Cross multiply
    2,387.59x = 3,580.36 × 744.27
  4. Step 4: Simplify right side
    2,387.59x = 2,664,739.25
  5. Step 5: Solve for x
    x = 2,664,739.25/2,387.59
  6. Step 6: Final answer
    x = 1,116.08

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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.