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Finding the Fourth Proportional to 5,671.71, 8,504.24 and 1,721.78

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Solution

The fourth proportional to 5,671.71, 8,504.24 and 1,721.78 is: 2,581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.71 : 8,504.24 = 1,721.78 : x
  2. Step 2: Convert to fraction form
    5,671.71/8,504.24 = 1,721.78/x
  3. Step 3: Cross multiply
    5,671.71x = 8,504.24 × 1,721.78
  4. Step 4: Simplify right side
    5,671.71x = 14,642,379.22
  5. Step 5: Solve for x
    x = 14,642,379.22/5,671.71
  6. Step 6: Final answer
    x = 2,581.65

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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.