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Finding the Fourth Proportional to 5,691.77, 8,536.94 and 1,531.61

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Solution

The fourth proportional to 5,691.77, 8,536.94 and 1,531.61 is: 2,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.77 : 8,536.94 = 1,531.61 : x
  2. Step 2: Convert to fraction form
    5,691.77/8,536.94 = 1,531.61/x
  3. Step 3: Cross multiply
    5,691.77x = 8,536.94 × 1,531.61
  4. Step 4: Simplify right side
    5,691.77x = 13,075,212.33
  5. Step 5: Solve for x
    x = 13,075,212.33/5,691.77
  6. Step 6: Final answer
    x = 2,297.22

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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.