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Finding the Fourth Proportional to 2,397.68, 3,309 and 1,349.84

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Solution

The fourth proportional to 2,397.68, 3,309 and 1,349.84 is: 1,862.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.68 : 3,309 = 1,349.84 : x
  2. Step 2: Convert to fraction form
    2,397.68/3,309 = 1,349.84/x
  3. Step 3: Cross multiply
    2,397.68x = 3,309 × 1,349.84
  4. Step 4: Simplify right side
    2,397.68x = 4,466,620.56
  5. Step 5: Solve for x
    x = 4,466,620.56/2,397.68
  6. Step 6: Final answer
    x = 1,862.89

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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.