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Finding the Fourth Proportional to 1,397.59, 1,926.84 and 1,161.74

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Solution

The fourth proportional to 1,397.59, 1,926.84 and 1,161.74 is: 1,601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.59 : 1,926.84 = 1,161.74 : x
  2. Step 2: Convert to fraction form
    1,397.59/1,926.84 = 1,161.74/x
  3. Step 3: Cross multiply
    1,397.59x = 1,926.84 × 1,161.74
  4. Step 4: Simplify right side
    1,397.59x = 2,238,487.10
  5. Step 5: Solve for x
    x = 2,238,487.10/1,397.59
  6. Step 6: Final answer
    x = 1,601.68

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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.