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Finding the Fourth Proportional to 3,279.76, 4,526.05 and 1,787.67

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Solution

The fourth proportional to 3,279.76, 4,526.05 and 1,787.67 is: 2,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.76 : 4,526.05 = 1,787.67 : x
  2. Step 2: Convert to fraction form
    3,279.76/4,526.05 = 1,787.67/x
  3. Step 3: Cross multiply
    3,279.76x = 4,526.05 × 1,787.67
  4. Step 4: Simplify right side
    3,279.76x = 8,091,083.80
  5. Step 5: Solve for x
    x = 8,091,083.80/3,279.76
  6. Step 6: Final answer
    x = 2,466.97

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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.