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Finding the Fourth Proportional to 3,281.76, 4,923.36 and 1,638.72

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Solution

The fourth proportional to 3,281.76, 4,923.36 and 1,638.72 is: 2,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.76 : 4,923.36 = 1,638.72 : x
  2. Step 2: Convert to fraction form
    3,281.76/4,923.36 = 1,638.72/x
  3. Step 3: Cross multiply
    3,281.76x = 4,923.36 × 1,638.72
  4. Step 4: Simplify right side
    3,281.76x = 8,068,008.50
  5. Step 5: Solve for x
    x = 8,068,008.50/3,281.76
  6. Step 6: Final answer
    x = 2,458.44

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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.