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Finding the Fourth Proportional to 2,732.62, 4,097.92 and 977.15

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Solution

The fourth proportional to 2,732.62, 4,097.92 and 977.15 is: 1,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.62 : 4,097.92 = 977.15 : x
  2. Step 2: Convert to fraction form
    2,732.62/4,097.92 = 977.15/x
  3. Step 3: Cross multiply
    2,732.62x = 4,097.92 × 977.15
  4. Step 4: Simplify right side
    2,732.62x = 4,004,282.53
  5. Step 5: Solve for x
    x = 4,004,282.53/2,732.62
  6. Step 6: Final answer
    x = 1,465.36

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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.