Home / 1,534.20-2,116.96-861.87

Finding the Fourth Proportional to 1,534.20, 2,116.96 and 861.87

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Solution

The fourth proportional to 1,534.20, 2,116.96 and 861.87 is: 1,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.20 : 2,116.96 = 861.87 : x
  2. Step 2: Convert to fraction form
    1,534.20/2,116.96 = 861.87/x
  3. Step 3: Cross multiply
    1,534.20x = 2,116.96 × 861.87
  4. Step 4: Simplify right side
    1,534.20x = 1,824,544.15
  5. Step 5: Solve for x
    x = 1,824,544.15/1,534.20
  6. Step 6: Final answer
    x = 1,189.25

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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.