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Finding the Fourth Proportional to 6,891.75, 9,510.57 and 3,747.92

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Solution

The fourth proportional to 6,891.75, 9,510.57 and 3,747.92 is: 5,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.75 : 9,510.57 = 3,747.92 : x
  2. Step 2: Convert to fraction form
    6,891.75/9,510.57 = 3,747.92/x
  3. Step 3: Cross multiply
    6,891.75x = 9,510.57 × 3,747.92
  4. Step 4: Simplify right side
    6,891.75x = 35,644,807.96
  5. Step 5: Solve for x
    x = 35,644,807.96/6,891.75
  6. Step 6: Final answer
    x = 5,172.10

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1.5x scale

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.