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Finding the Fourth Proportional to 2,320.78, 3,481.20 and 934.78

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Solution

The fourth proportional to 2,320.78, 3,481.20 and 934.78 is: 1,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.78 : 3,481.20 = 934.78 : x
  2. Step 2: Convert to fraction form
    2,320.78/3,481.20 = 934.78/x
  3. Step 3: Cross multiply
    2,320.78x = 3,481.20 × 934.78
  4. Step 4: Simplify right side
    2,320.78x = 3,254,156.14
  5. Step 5: Solve for x
    x = 3,254,156.14/2,320.78
  6. Step 6: Final answer
    x = 1,402.18

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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.