Home / 1,122.85-1,546.19-1,097.96

Finding the Fourth Proportional to 1,122.85, 1,546.19 and 1,097.96

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Solution

The fourth proportional to 1,122.85, 1,546.19 and 1,097.96 is: 1,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.85 : 1,546.19 = 1,097.96 : x
  2. Step 2: Convert to fraction form
    1,122.85/1,546.19 = 1,097.96/x
  3. Step 3: Cross multiply
    1,122.85x = 1,546.19 × 1,097.96
  4. Step 4: Simplify right side
    1,122.85x = 1,697,641.55
  5. Step 5: Solve for x
    x = 1,697,641.55/1,122.85
  6. Step 6: Final answer
    x = 1,511.90

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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.