Home / 1,152.20-1,582-1,122.13

Finding the Fourth Proportional to 1,152.20, 1,582 and 1,122.13

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Solution

The fourth proportional to 1,152.20, 1,582 and 1,122.13 is: 1,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.20 : 1,582 = 1,122.13 : x
  2. Step 2: Convert to fraction form
    1,152.20/1,582 = 1,122.13/x
  3. Step 3: Cross multiply
    1,152.20x = 1,582 × 1,122.13
  4. Step 4: Simplify right side
    1,152.20x = 1,775,201.75
  5. Step 5: Solve for x
    x = 1,775,201.75/1,152.20
  6. Step 6: Final answer
    x = 1,540.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.