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Finding the Fourth Proportional to 7,143.73, 10,713.51 and 2,760.16

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Solution

The fourth proportional to 7,143.73, 10,713.51 and 2,760.16 is: 4,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.73 : 10,713.51 = 2,760.16 : x
  2. Step 2: Convert to fraction form
    7,143.73/10,713.51 = 2,760.16/x
  3. Step 3: Cross multiply
    7,143.73x = 10,713.51 × 2,760.16
  4. Step 4: Simplify right side
    7,143.73x = 29,571,001.76
  5. Step 5: Solve for x
    x = 29,571,001.76/7,143.73
  6. Step 6: Final answer
    x = 4,139.43

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1.5x scale

Why These Related Problems?

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