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Finding the Fourth Proportional to 2,625.14, 3,938.00 and 869.69

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Solution

The fourth proportional to 2,625.14, 3,938.00 and 869.69 is: 1,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.14 : 3,938.00 = 869.69 : x
  2. Step 2: Convert to fraction form
    2,625.14/3,938.00 = 869.69/x
  3. Step 3: Cross multiply
    2,625.14x = 3,938.00 × 869.69
  4. Step 4: Simplify right side
    2,625.14x = 3,424,815.18
  5. Step 5: Solve for x
    x = 3,424,815.18/2,625.14
  6. Step 6: Final answer
    x = 1,304.62

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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.