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Finding the Fourth Proportional to 26,842.80, 40,262.52 and 8,122.80

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Solution

The fourth proportional to 26,842.80, 40,262.52 and 8,122.80 is: 12,183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,842.80 : 40,262.52 = 8,122.80 : x
  2. Step 2: Convert to fraction form
    26,842.80/40,262.52 = 8,122.80/x
  3. Step 3: Cross multiply
    26,842.80x = 40,262.52 × 8,122.80
  4. Step 4: Simplify right side
    26,842.80x = 327,044,397.46
  5. Step 5: Solve for x
    x = 327,044,397.46/26,842.80
  6. Step 6: Final answer
    x = 12,183.69

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1.5x scale

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.