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Finding the Fourth Proportional to 2,625.90, 3,938.85 and 894.53

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Solution

The fourth proportional to 2,625.90, 3,938.85 and 894.53 is: 1,341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.90 : 3,938.85 = 894.53 : x
  2. Step 2: Convert to fraction form
    2,625.90/3,938.85 = 894.53/x
  3. Step 3: Cross multiply
    2,625.90x = 3,938.85 × 894.53
  4. Step 4: Simplify right side
    2,625.90x = 3,523,419.49
  5. Step 5: Solve for x
    x = 3,523,419.49/2,625.90
  6. Step 6: Final answer
    x = 1,341.80

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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.