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Finding the Fourth Proportional to 2,510.15, 3,463.51 and 1,447.49

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Solution

The fourth proportional to 2,510.15, 3,463.51 and 1,447.49 is: 1,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.15 : 3,463.51 = 1,447.49 : x
  2. Step 2: Convert to fraction form
    2,510.15/3,463.51 = 1,447.49/x
  3. Step 3: Cross multiply
    2,510.15x = 3,463.51 × 1,447.49
  4. Step 4: Simplify right side
    2,510.15x = 5,013,375.15
  5. Step 5: Solve for x
    x = 5,013,375.15/2,510.15
  6. Step 6: Final answer
    x = 1,997.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.