Home / 2,142.24-3,212.16-987.12

Finding the Fourth Proportional to 2,142.24, 3,212.16 and 987.12

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Solution

The fourth proportional to 2,142.24, 3,212.16 and 987.12 is: 1,480.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.24 : 3,212.16 = 987.12 : x
  2. Step 2: Convert to fraction form
    2,142.24/3,212.16 = 987.12/x
  3. Step 3: Cross multiply
    2,142.24x = 3,212.16 × 987.12
  4. Step 4: Simplify right side
    2,142.24x = 3,170,787.38
  5. Step 5: Solve for x
    x = 3,170,787.38/2,142.24
  6. Step 6: Final answer
    x = 1,480.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.