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Finding the Fourth Proportional to 1,691.61, 2,536.26 and 814.08

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Solution

The fourth proportional to 1,691.61, 2,536.26 and 814.08 is: 1,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.61 : 2,536.26 = 814.08 : x
  2. Step 2: Convert to fraction form
    1,691.61/2,536.26 = 814.08/x
  3. Step 3: Cross multiply
    1,691.61x = 2,536.26 × 814.08
  4. Step 4: Simplify right side
    1,691.61x = 2,064,718.54
  5. Step 5: Solve for x
    x = 2,064,718.54/1,691.61
  6. Step 6: Final answer
    x = 1,220.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.