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Finding the Fourth Proportional to 1,531, 2,112.78 and 832.38

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Solution

The fourth proportional to 1,531, 2,112.78 and 832.38 is: 1,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531 : 2,112.78 = 832.38 : x
  2. Step 2: Convert to fraction form
    1,531/2,112.78 = 832.38/x
  3. Step 3: Cross multiply
    1,531x = 2,112.78 × 832.38
  4. Step 4: Simplify right side
    1,531x = 1,758,635.82
  5. Step 5: Solve for x
    x = 1,758,635.82/1,531
  6. Step 6: Final answer
    x = 1,148.68

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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.