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Finding the Fourth Proportional to 2,175.40, 3,263.25 and 876.88

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Solution

The fourth proportional to 2,175.40, 3,263.25 and 876.88 is: 1,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.40 : 3,263.25 = 876.88 : x
  2. Step 2: Convert to fraction form
    2,175.40/3,263.25 = 876.88/x
  3. Step 3: Cross multiply
    2,175.40x = 3,263.25 × 876.88
  4. Step 4: Simplify right side
    2,175.40x = 2,861,478.66
  5. Step 5: Solve for x
    x = 2,861,478.66/2,175.40
  6. Step 6: Final answer
    x = 1,315.38

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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.