Home / 2,732.29-4,098.42-977.23

Finding the Fourth Proportional to 2,732.29, 4,098.42 and 977.23

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Solution

The fourth proportional to 2,732.29, 4,098.42 and 977.23 is: 1,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.29 : 4,098.42 = 977.23 : x
  2. Step 2: Convert to fraction form
    2,732.29/4,098.42 = 977.23/x
  3. Step 3: Cross multiply
    2,732.29x = 4,098.42 × 977.23
  4. Step 4: Simplify right side
    2,732.29x = 4,005,098.98
  5. Step 5: Solve for x
    x = 4,005,098.98/2,732.29
  6. Step 6: Final answer
    x = 1,465.84

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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.