Home / 1,213.92-1,829.25-1,002.24

Finding the Fourth Proportional to 1,213.92, 1,829.25 and 1,002.24

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Solution

The fourth proportional to 1,213.92, 1,829.25 and 1,002.24 is: 1,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.92 : 1,829.25 = 1,002.24 : x
  2. Step 2: Convert to fraction form
    1,213.92/1,829.25 = 1,002.24/x
  3. Step 3: Cross multiply
    1,213.92x = 1,829.25 × 1,002.24
  4. Step 4: Simplify right side
    1,213.92x = 1,833,347.52
  5. Step 5: Solve for x
    x = 1,833,347.52/1,213.92
  6. Step 6: Final answer
    x = 1,510.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.