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Finding the Fourth Proportional to 2,592.81, 3,888.75 and 949.38

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Solution

The fourth proportional to 2,592.81, 3,888.75 and 949.38 is: 1,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.81 : 3,888.75 = 949.38 : x
  2. Step 2: Convert to fraction form
    2,592.81/3,888.75 = 949.38/x
  3. Step 3: Cross multiply
    2,592.81x = 3,888.75 × 949.38
  4. Step 4: Simplify right side
    2,592.81x = 3,691,901.48
  5. Step 5: Solve for x
    x = 3,691,901.48/2,592.81
  6. Step 6: Final answer
    x = 1,423.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.