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Finding the Fourth Proportional to 1,397.65, 1,930.13 and 1,266.43

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Solution

The fourth proportional to 1,397.65, 1,930.13 and 1,266.43 is: 1,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.65 : 1,930.13 = 1,266.43 : x
  2. Step 2: Convert to fraction form
    1,397.65/1,930.13 = 1,266.43/x
  3. Step 3: Cross multiply
    1,397.65x = 1,930.13 × 1,266.43
  4. Step 4: Simplify right side
    1,397.65x = 2,444,377.70
  5. Step 5: Solve for x
    x = 2,444,377.70/1,397.65
  6. Step 6: Final answer
    x = 1,748.92

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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.