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Finding the Fourth Proportional to 2,108.15, 3,163.36 and 876.41

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Solution

The fourth proportional to 2,108.15, 3,163.36 and 876.41 is: 1,315.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.15 : 3,163.36 = 876.41 : x
  2. Step 2: Convert to fraction form
    2,108.15/3,163.36 = 876.41/x
  3. Step 3: Cross multiply
    2,108.15x = 3,163.36 × 876.41
  4. Step 4: Simplify right side
    2,108.15x = 2,772,384.52
  5. Step 5: Solve for x
    x = 2,772,384.52/2,108.15
  6. Step 6: Final answer
    x = 1,315.08

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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.