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Finding the Fourth Proportional to 2,868.50, 3,959.01 and 1,627.22

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Solution

The fourth proportional to 2,868.50, 3,959.01 and 1,627.22 is: 2,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.50 : 3,959.01 = 1,627.22 : x
  2. Step 2: Convert to fraction form
    2,868.50/3,959.01 = 1,627.22/x
  3. Step 3: Cross multiply
    2,868.50x = 3,959.01 × 1,627.22
  4. Step 4: Simplify right side
    2,868.50x = 6,442,180.25
  5. Step 5: Solve for x
    x = 6,442,180.25/2,868.50
  6. Step 6: Final answer
    x = 2,245.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.