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Finding the Fourth Proportional to 1,036.26, 1,427.22 and 861.30

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Solution

The fourth proportional to 1,036.26, 1,427.22 and 861.30 is: 1,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.26 : 1,427.22 = 861.30 : x
  2. Step 2: Convert to fraction form
    1,036.26/1,427.22 = 861.30/x
  3. Step 3: Cross multiply
    1,036.26x = 1,427.22 × 861.30
  4. Step 4: Simplify right side
    1,036.26x = 1,229,264.59
  5. Step 5: Solve for x
    x = 1,229,264.59/1,036.26
  6. Step 6: Final answer
    x = 1,186.25

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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.