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Finding the Fourth Proportional to 4,480.86, 6,721.43 and 2,141.12

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Solution

The fourth proportional to 4,480.86, 6,721.43 and 2,141.12 is: 3,211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480.86 : 6,721.43 = 2,141.12 : x
  2. Step 2: Convert to fraction form
    4,480.86/6,721.43 = 2,141.12/x
  3. Step 3: Cross multiply
    4,480.86x = 6,721.43 × 2,141.12
  4. Step 4: Simplify right side
    4,480.86x = 14,391,343.89
  5. Step 5: Solve for x
    x = 14,391,343.89/4,480.86
  6. Step 6: Final answer
    x = 3,211.74

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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.