Home / 2,148.54-3,222.38-761.85

Finding the Fourth Proportional to 2,148.54, 3,222.38 and 761.85

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Solution

The fourth proportional to 2,148.54, 3,222.38 and 761.85 is: 1,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.54 : 3,222.38 = 761.85 : x
  2. Step 2: Convert to fraction form
    2,148.54/3,222.38 = 761.85/x
  3. Step 3: Cross multiply
    2,148.54x = 3,222.38 × 761.85
  4. Step 4: Simplify right side
    2,148.54x = 2,454,966.39
  5. Step 5: Solve for x
    x = 2,454,966.39/2,148.54
  6. Step 6: Final answer
    x = 1,142.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.