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Finding the Fourth Proportional to 1,613.86, 2,227.20 and 950.74

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Solution

The fourth proportional to 1,613.86, 2,227.20 and 950.74 is: 1,312.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.86 : 2,227.20 = 950.74 : x
  2. Step 2: Convert to fraction form
    1,613.86/2,227.20 = 950.74/x
  3. Step 3: Cross multiply
    1,613.86x = 2,227.20 × 950.74
  4. Step 4: Simplify right side
    1,613.86x = 2,117,488.13
  5. Step 5: Solve for x
    x = 2,117,488.13/1,613.86
  6. Step 6: Final answer
    x = 1,312.06

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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.