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Finding the Fourth Proportional to 2,812.76, 4,218.60 and 864.44

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Solution

The fourth proportional to 2,812.76, 4,218.60 and 864.44 is: 1,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.76 : 4,218.60 = 864.44 : x
  2. Step 2: Convert to fraction form
    2,812.76/4,218.60 = 864.44/x
  3. Step 3: Cross multiply
    2,812.76x = 4,218.60 × 864.44
  4. Step 4: Simplify right side
    2,812.76x = 3,646,726.58
  5. Step 5: Solve for x
    x = 3,646,726.58/2,812.76
  6. Step 6: Final answer
    x = 1,296.49

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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.