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Finding the Fourth Proportional to 2,732.63, 4,098.96 and 977.72

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Solution

The fourth proportional to 2,732.63, 4,098.96 and 977.72 is: 1,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.63 : 4,098.96 = 977.72 : x
  2. Step 2: Convert to fraction form
    2,732.63/4,098.96 = 977.72/x
  3. Step 3: Cross multiply
    2,732.63x = 4,098.96 × 977.72
  4. Step 4: Simplify right side
    2,732.63x = 4,007,614.68
  5. Step 5: Solve for x
    x = 4,007,614.68/2,732.63
  6. Step 6: Final answer
    x = 1,466.58

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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.