Home / 1,524.72-2,104.11-861.60

Finding the Fourth Proportional to 1,524.72, 2,104.11 and 861.60

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Solution

The fourth proportional to 1,524.72, 2,104.11 and 861.60 is: 1,189.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.72 : 2,104.11 = 861.60 : x
  2. Step 2: Convert to fraction form
    1,524.72/2,104.11 = 861.60/x
  3. Step 3: Cross multiply
    1,524.72x = 2,104.11 × 861.60
  4. Step 4: Simplify right side
    1,524.72x = 1,812,901.18
  5. Step 5: Solve for x
    x = 1,812,901.18/1,524.72
  6. Step 6: Final answer
    x = 1,189.01

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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.