Home / 2,108.12-3,161.98-938.15

Finding the Fourth Proportional to 2,108.12, 3,161.98 and 938.15

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Solution

The fourth proportional to 2,108.12, 3,161.98 and 938.15 is: 1,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.12 : 3,161.98 = 938.15 : x
  2. Step 2: Convert to fraction form
    2,108.12/3,161.98 = 938.15/x
  3. Step 3: Cross multiply
    2,108.12x = 3,161.98 × 938.15
  4. Step 4: Simplify right side
    2,108.12x = 2,966,391.04
  5. Step 5: Solve for x
    x = 2,966,391.04/2,108.12
  6. Step 6: Final answer
    x = 1,407.13

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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.