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Finding the Fourth Proportional to 3,510.10, 4,843.89 and 1,938.20

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Solution

The fourth proportional to 3,510.10, 4,843.89 and 1,938.20 is: 2,674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.10 : 4,843.89 = 1,938.20 : x
  2. Step 2: Convert to fraction form
    3,510.10/4,843.89 = 1,938.20/x
  3. Step 3: Cross multiply
    3,510.10x = 4,843.89 × 1,938.20
  4. Step 4: Simplify right side
    3,510.10x = 9,388,439.71
  5. Step 5: Solve for x
    x = 9,388,439.71/3,510.10
  6. Step 6: Final answer
    x = 2,674.69

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Why These Related Problems?

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