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Finding the Fourth Proportional to 3,490.86, 4,819.68 and 3,121.50

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Solution

The fourth proportional to 3,490.86, 4,819.68 and 3,121.50 is: 4,309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.86 : 4,819.68 = 3,121.50 : x
  2. Step 2: Convert to fraction form
    3,490.86/4,819.68 = 3,121.50/x
  3. Step 3: Cross multiply
    3,490.86x = 4,819.68 × 3,121.50
  4. Step 4: Simplify right side
    3,490.86x = 15,044,631.12
  5. Step 5: Solve for x
    x = 15,044,631.12/3,490.86
  6. Step 6: Final answer
    x = 4,309.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.