Home / 2,148.32-3,221.57-761.20

Finding the Fourth Proportional to 2,148.32, 3,221.57 and 761.20

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Solution

The fourth proportional to 2,148.32, 3,221.57 and 761.20 is: 1,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.32 : 3,221.57 = 761.20 : x
  2. Step 2: Convert to fraction form
    2,148.32/3,221.57 = 761.20/x
  3. Step 3: Cross multiply
    2,148.32x = 3,221.57 × 761.20
  4. Step 4: Simplify right side
    2,148.32x = 2,452,252.93
  5. Step 5: Solve for x
    x = 2,452,252.93/2,148.32
  6. Step 6: Final answer
    x = 1,141.47

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1.5x scale

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.