Home / 2,306.25-3,442.32-2,143.71

Finding the Fourth Proportional to 2,306.25, 3,442.32 and 2,143.71

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Solution

The fourth proportional to 2,306.25, 3,442.32 and 2,143.71 is: 3,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.25 : 3,442.32 = 2,143.71 : x
  2. Step 2: Convert to fraction form
    2,306.25/3,442.32 = 2,143.71/x
  3. Step 3: Cross multiply
    2,306.25x = 3,442.32 × 2,143.71
  4. Step 4: Simplify right side
    2,306.25x = 7,379,335.81
  5. Step 5: Solve for x
    x = 7,379,335.81/2,306.25
  6. Step 6: Final answer
    x = 3,199.71

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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.