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Finding the Fourth Proportional to 21,254.59, 31,879.45 and 5,671

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Solution

The fourth proportional to 21,254.59, 31,879.45 and 5,671 is: 8,505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254.59 : 31,879.45 = 5,671 : x
  2. Step 2: Convert to fraction form
    21,254.59/31,879.45 = 5,671/x
  3. Step 3: Cross multiply
    21,254.59x = 31,879.45 × 5,671
  4. Step 4: Simplify right side
    21,254.59x = 180,788,360.95
  5. Step 5: Solve for x
    x = 180,788,360.95/21,254.59
  6. Step 6: Final answer
    x = 8,505.85

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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.