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Finding the Fourth Proportional to 2,671.91, 4,008.63 and 823.28

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Solution

The fourth proportional to 2,671.91, 4,008.63 and 823.28 is: 1,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.91 : 4,008.63 = 823.28 : x
  2. Step 2: Convert to fraction form
    2,671.91/4,008.63 = 823.28/x
  3. Step 3: Cross multiply
    2,671.91x = 4,008.63 × 823.28
  4. Step 4: Simplify right side
    2,671.91x = 3,300,224.91
  5. Step 5: Solve for x
    x = 3,300,224.91/2,671.91
  6. Step 6: Final answer
    x = 1,235.16

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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.