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Finding the Fourth Proportional to 2,108.54, 3,163.20 and 876.06

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Solution

The fourth proportional to 2,108.54, 3,163.20 and 876.06 is: 1,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.54 : 3,163.20 = 876.06 : x
  2. Step 2: Convert to fraction form
    2,108.54/3,163.20 = 876.06/x
  3. Step 3: Cross multiply
    2,108.54x = 3,163.20 × 876.06
  4. Step 4: Simplify right side
    2,108.54x = 2,771,152.99
  5. Step 5: Solve for x
    x = 2,771,152.99/2,108.54
  6. Step 6: Final answer
    x = 1,314.25

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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.