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Finding the Fourth Proportional to 2,732.70, 4,098.04 and 977.23

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Solution

The fourth proportional to 2,732.70, 4,098.04 and 977.23 is: 1,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.70 : 4,098.04 = 977.23 : x
  2. Step 2: Convert to fraction form
    2,732.70/4,098.04 = 977.23/x
  3. Step 3: Cross multiply
    2,732.70x = 4,098.04 × 977.23
  4. Step 4: Simplify right side
    2,732.70x = 4,004,714.94
  5. Step 5: Solve for x
    x = 4,004,714.94/2,732.70
  6. Step 6: Final answer
    x = 1,465.48

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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.