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Finding the Fourth Proportional to 5,240.71, 7,843.79 and 2,865.16

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Solution

The fourth proportional to 5,240.71, 7,843.79 and 2,865.16 is: 4,288.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.71 : 7,843.79 = 2,865.16 : x
  2. Step 2: Convert to fraction form
    5,240.71/7,843.79 = 2,865.16/x
  3. Step 3: Cross multiply
    5,240.71x = 7,843.79 × 2,865.16
  4. Step 4: Simplify right side
    5,240.71x = 22,473,713.36
  5. Step 5: Solve for x
    x = 22,473,713.36/5,240.71
  6. Step 6: Final answer
    x = 4,288.30

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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.