Home / 2,732.25-4,098.40-977.34

Finding the Fourth Proportional to 2,732.25, 4,098.40 and 977.34

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Solution

The fourth proportional to 2,732.25, 4,098.40 and 977.34 is: 1,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.25 : 4,098.40 = 977.34 : x
  2. Step 2: Convert to fraction form
    2,732.25/4,098.40 = 977.34/x
  3. Step 3: Cross multiply
    2,732.25x = 4,098.40 × 977.34
  4. Step 4: Simplify right side
    2,732.25x = 4,005,527.81
  5. Step 5: Solve for x
    x = 4,005,527.81/2,732.25
  6. Step 6: Final answer
    x = 1,466.02

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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.