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Finding the Fourth Proportional to 2,387.74, 3,581.59 and 1,299.02

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Solution

The fourth proportional to 2,387.74, 3,581.59 and 1,299.02 is: 1,948.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.74 : 3,581.59 = 1,299.02 : x
  2. Step 2: Convert to fraction form
    2,387.74/3,581.59 = 1,299.02/x
  3. Step 3: Cross multiply
    2,387.74x = 3,581.59 × 1,299.02
  4. Step 4: Simplify right side
    2,387.74x = 4,652,557.04
  5. Step 5: Solve for x
    x = 4,652,557.04/2,387.74
  6. Step 6: Final answer
    x = 1,948.52

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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.