Home / 2,781.76-4,167.84-1,320.32

Finding the Fourth Proportional to 2,781.76, 4,167.84 and 1,320.32

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Solution

The fourth proportional to 2,781.76, 4,167.84 and 1,320.32 is: 1,978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.76 : 4,167.84 = 1,320.32 : x
  2. Step 2: Convert to fraction form
    2,781.76/4,167.84 = 1,320.32/x
  3. Step 3: Cross multiply
    2,781.76x = 4,167.84 × 1,320.32
  4. Step 4: Simplify right side
    2,781.76x = 5,502,882.51
  5. Step 5: Solve for x
    x = 5,502,882.51/2,781.76
  6. Step 6: Final answer
    x = 1,978.20

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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.