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Finding the Fourth Proportional to 5,811.60, 8,721 and 2,348.88

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Solution

The fourth proportional to 5,811.60, 8,721 and 2,348.88 is: 3,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.60 : 8,721 = 2,348.88 : x
  2. Step 2: Convert to fraction form
    5,811.60/8,721 = 2,348.88/x
  3. Step 3: Cross multiply
    5,811.60x = 8,721 × 2,348.88
  4. Step 4: Simplify right side
    5,811.60x = 20,484,582.48
  5. Step 5: Solve for x
    x = 20,484,582.48/5,811.60
  6. Step 6: Final answer
    x = 3,524.78

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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.