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Finding the Fourth Proportional to 2,508.10, 3,762.45 and 864.22

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Solution

The fourth proportional to 2,508.10, 3,762.45 and 864.22 is: 1,296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.10 : 3,762.45 = 864.22 : x
  2. Step 2: Convert to fraction form
    2,508.10/3,762.45 = 864.22/x
  3. Step 3: Cross multiply
    2,508.10x = 3,762.45 × 864.22
  4. Step 4: Simplify right side
    2,508.10x = 3,251,584.54
  5. Step 5: Solve for x
    x = 3,251,584.54/2,508.10
  6. Step 6: Final answer
    x = 1,296.43

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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.