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Finding the Fourth Proportional to 2,287.92, 3,157.25 and 1,239.96

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Solution

The fourth proportional to 2,287.92, 3,157.25 and 1,239.96 is: 1,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.92 : 3,157.25 = 1,239.96 : x
  2. Step 2: Convert to fraction form
    2,287.92/3,157.25 = 1,239.96/x
  3. Step 3: Cross multiply
    2,287.92x = 3,157.25 × 1,239.96
  4. Step 4: Simplify right side
    2,287.92x = 3,914,857.51
  5. Step 5: Solve for x
    x = 3,914,857.51/2,287.92
  6. Step 6: Final answer
    x = 1,711.10

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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.