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Finding the Fourth Proportional to 2,397.90, 3,309.09 and 1,349.97

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Solution

The fourth proportional to 2,397.90, 3,309.09 and 1,349.97 is: 1,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.90 : 3,309.09 = 1,349.97 : x
  2. Step 2: Convert to fraction form
    2,397.90/3,309.09 = 1,349.97/x
  3. Step 3: Cross multiply
    2,397.90x = 3,309.09 × 1,349.97
  4. Step 4: Simplify right side
    2,397.90x = 4,467,172.23
  5. Step 5: Solve for x
    x = 4,467,172.23/2,397.90
  6. Step 6: Final answer
    x = 1,862.95

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1.5x scale

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.