Home / 2,054.24-3,081.28-515.20

Finding the Fourth Proportional to 2,054.24, 3,081.28 and 515.20

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Solution

The fourth proportional to 2,054.24, 3,081.28 and 515.20 is: 772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.24 : 3,081.28 = 515.20 : x
  2. Step 2: Convert to fraction form
    2,054.24/3,081.28 = 515.20/x
  3. Step 3: Cross multiply
    2,054.24x = 3,081.28 × 515.20
  4. Step 4: Simplify right side
    2,054.24x = 1,587,475.46
  5. Step 5: Solve for x
    x = 1,587,475.46/2,054.24
  6. Step 6: Final answer
    x = 772.78

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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.