Home / 1,531.42-2,297.40-1,011.85

Finding the Fourth Proportional to 1,531.42, 2,297.40 and 1,011.85

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Solution

The fourth proportional to 1,531.42, 2,297.40 and 1,011.85 is: 1,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.42 : 2,297.40 = 1,011.85 : x
  2. Step 2: Convert to fraction form
    1,531.42/2,297.40 = 1,011.85/x
  3. Step 3: Cross multiply
    1,531.42x = 2,297.40 × 1,011.85
  4. Step 4: Simplify right side
    1,531.42x = 2,324,630.86
  5. Step 5: Solve for x
    x = 2,324,630.86/1,531.42
  6. Step 6: Final answer
    x = 1,517.96

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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.