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Finding the Fourth Proportional to 2,625.44, 3,938.10 and 2,278.22

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Solution

The fourth proportional to 2,625.44, 3,938.10 and 2,278.22 is: 3,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.44 : 3,938.10 = 2,278.22 : x
  2. Step 2: Convert to fraction form
    2,625.44/3,938.10 = 2,278.22/x
  3. Step 3: Cross multiply
    2,625.44x = 3,938.10 × 2,278.22
  4. Step 4: Simplify right side
    2,625.44x = 8,971,858.18
  5. Step 5: Solve for x
    x = 8,971,858.18/2,625.44
  6. Step 6: Final answer
    x = 3,417.28

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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.