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Finding the Fourth Proportional to 26,658, 39,990.24 and 8,190

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Solution

The fourth proportional to 26,658, 39,990.24 and 8,190 is: 12,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,658 : 39,990.24 = 8,190 : x
  2. Step 2: Convert to fraction form
    26,658/39,990.24 = 8,190/x
  3. Step 3: Cross multiply
    26,658x = 39,990.24 × 8,190
  4. Step 4: Simplify right side
    26,658x = 327,520,065.60
  5. Step 5: Solve for x
    x = 327,520,065.60/26,658
  6. Step 6: Final answer
    x = 12,286.00

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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.