Home / 2,323.78-3,480.28-2,306.50

Finding the Fourth Proportional to 2,323.78, 3,480.28 and 2,306.50

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Solution

The fourth proportional to 2,323.78, 3,480.28 and 2,306.50 is: 3,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.78 : 3,480.28 = 2,306.50 : x
  2. Step 2: Convert to fraction form
    2,323.78/3,480.28 = 2,306.50/x
  3. Step 3: Cross multiply
    2,323.78x = 3,480.28 × 2,306.50
  4. Step 4: Simplify right side
    2,323.78x = 8,027,251.35
  5. Step 5: Solve for x
    x = 8,027,251.35/2,323.78
  6. Step 6: Final answer
    x = 3,454.40

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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.