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Finding the Fourth Proportional to 15,092.25, 20,827.40 and 8,378.29

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Solution

The fourth proportional to 15,092.25, 20,827.40 and 8,378.29 is: 11,562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,092.25 : 20,827.40 = 8,378.29 : x
  2. Step 2: Convert to fraction form
    15,092.25/20,827.40 = 8,378.29/x
  3. Step 3: Cross multiply
    15,092.25x = 20,827.40 × 8,378.29
  4. Step 4: Simplify right side
    15,092.25x = 174,497,997.15
  5. Step 5: Solve for x
    x = 174,497,997.15/15,092.25
  6. Step 6: Final answer
    x = 11,562.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.