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Finding the Fourth Proportional to 1,531.24, 2,113.12 and 832.61

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Solution

The fourth proportional to 1,531.24, 2,113.12 and 832.61 is: 1,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.24 : 2,113.12 = 832.61 : x
  2. Step 2: Convert to fraction form
    1,531.24/2,113.12 = 832.61/x
  3. Step 3: Cross multiply
    1,531.24x = 2,113.12 × 832.61
  4. Step 4: Simplify right side
    1,531.24x = 1,759,404.84
  5. Step 5: Solve for x
    x = 1,759,404.84/1,531.24
  6. Step 6: Final answer
    x = 1,149.01

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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.