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Finding the Fourth Proportional to 2,108.70, 3,163.96 and 876.38

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Solution

The fourth proportional to 2,108.70, 3,163.96 and 876.38 is: 1,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.70 : 3,163.96 = 876.38 : x
  2. Step 2: Convert to fraction form
    2,108.70/3,163.96 = 876.38/x
  3. Step 3: Cross multiply
    2,108.70x = 3,163.96 × 876.38
  4. Step 4: Simplify right side
    2,108.70x = 2,772,831.26
  5. Step 5: Solve for x
    x = 2,772,831.26/2,108.70
  6. Step 6: Final answer
    x = 1,314.95

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1.5x scale

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.