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Finding the Fourth Proportional to 2,449.30, 3,668.55 and 987.70

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Solution

The fourth proportional to 2,449.30, 3,668.55 and 987.70 is: 1,479.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.30 : 3,668.55 = 987.70 : x
  2. Step 2: Convert to fraction form
    2,449.30/3,668.55 = 987.70/x
  3. Step 3: Cross multiply
    2,449.30x = 3,668.55 × 987.70
  4. Step 4: Simplify right side
    2,449.30x = 3,623,426.84
  5. Step 5: Solve for x
    x = 3,623,426.84/2,449.30
  6. Step 6: Final answer
    x = 1,479.37

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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.