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Finding the Fourth Proportional to 2,479.78, 3,721.13 and 920.86

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Solution

The fourth proportional to 2,479.78, 3,721.13 and 920.86 is: 1,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.78 : 3,721.13 = 920.86 : x
  2. Step 2: Convert to fraction form
    2,479.78/3,721.13 = 920.86/x
  3. Step 3: Cross multiply
    2,479.78x = 3,721.13 × 920.86
  4. Step 4: Simplify right side
    2,479.78x = 3,426,639.77
  5. Step 5: Solve for x
    x = 3,426,639.77/2,479.78
  6. Step 6: Final answer
    x = 1,381.83

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1.5x scale

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.