Home / 2,306.24-3,442.31-2,143.70

Finding the Fourth Proportional to 2,306.24, 3,442.31 and 2,143.70

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Solution

The fourth proportional to 2,306.24, 3,442.31 and 2,143.70 is: 3,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.24 : 3,442.31 = 2,143.70 : x
  2. Step 2: Convert to fraction form
    2,306.24/3,442.31 = 2,143.70/x
  3. Step 3: Cross multiply
    2,306.24x = 3,442.31 × 2,143.70
  4. Step 4: Simplify right side
    2,306.24x = 7,379,279.95
  5. Step 5: Solve for x
    x = 7,379,279.95/2,306.24
  6. Step 6: Final answer
    x = 3,199.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.