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Finding the Fourth Proportional to 2,510.53, 3,765.05 and 949.37

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Solution

The fourth proportional to 2,510.53, 3,765.05 and 949.37 is: 1,423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.53 : 3,765.05 = 949.37 : x
  2. Step 2: Convert to fraction form
    2,510.53/3,765.05 = 949.37/x
  3. Step 3: Cross multiply
    2,510.53x = 3,765.05 × 949.37
  4. Step 4: Simplify right side
    2,510.53x = 3,574,426.68
  5. Step 5: Solve for x
    x = 3,574,426.68/2,510.53
  6. Step 6: Final answer
    x = 1,423.78

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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.