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Finding the Fourth Proportional to 2,510.76, 3,761.28 and 1,411.78

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Solution

The fourth proportional to 2,510.76, 3,761.28 and 1,411.78 is: 2,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.76 : 3,761.28 = 1,411.78 : x
  2. Step 2: Convert to fraction form
    2,510.76/3,761.28 = 1,411.78/x
  3. Step 3: Cross multiply
    2,510.76x = 3,761.28 × 1,411.78
  4. Step 4: Simplify right side
    2,510.76x = 5,310,099.88
  5. Step 5: Solve for x
    x = 5,310,099.88/2,510.76
  6. Step 6: Final answer
    x = 2,114.94

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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.