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Finding the Fourth Proportional to 1,531.53, 2,113.52 and 832.91

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Solution

The fourth proportional to 1,531.53, 2,113.52 and 832.91 is: 1,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.53 : 2,113.52 = 832.91 : x
  2. Step 2: Convert to fraction form
    1,531.53/2,113.52 = 832.91/x
  3. Step 3: Cross multiply
    1,531.53x = 2,113.52 × 832.91
  4. Step 4: Simplify right side
    1,531.53x = 1,760,371.94
  5. Step 5: Solve for x
    x = 1,760,371.94/1,531.53
  6. Step 6: Final answer
    x = 1,149.42

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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.