Home / 2,830.24-3,902.56-2,305.28

Finding the Fourth Proportional to 2,830.24, 3,902.56 and 2,305.28

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Solution

The fourth proportional to 2,830.24, 3,902.56 and 2,305.28 is: 3,178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.24 : 3,902.56 = 2,305.28 : x
  2. Step 2: Convert to fraction form
    2,830.24/3,902.56 = 2,305.28/x
  3. Step 3: Cross multiply
    2,830.24x = 3,902.56 × 2,305.28
  4. Step 4: Simplify right side
    2,830.24x = 8,996,493.52
  5. Step 5: Solve for x
    x = 8,996,493.52/2,830.24
  6. Step 6: Final answer
    x = 3,178.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.