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Finding the Fourth Proportional to 3,276.84, 4,916.76 and 1,520.71

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Solution

The fourth proportional to 3,276.84, 4,916.76 and 1,520.71 is: 2,281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.84 : 4,916.76 = 1,520.71 : x
  2. Step 2: Convert to fraction form
    3,276.84/4,916.76 = 1,520.71/x
  3. Step 3: Cross multiply
    3,276.84x = 4,916.76 × 1,520.71
  4. Step 4: Simplify right side
    3,276.84x = 7,476,966.10
  5. Step 5: Solve for x
    x = 7,476,966.10/3,276.84
  6. Step 6: Final answer
    x = 2,281.76

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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.