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Finding the Fourth Proportional to 15,169.86, 22,740.07 and 7,777.80

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Solution

The fourth proportional to 15,169.86, 22,740.07 and 7,777.80 is: 11,659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,169.86 : 22,740.07 = 7,777.80 : x
  2. Step 2: Convert to fraction form
    15,169.86/22,740.07 = 7,777.80/x
  3. Step 3: Cross multiply
    15,169.86x = 22,740.07 × 7,777.80
  4. Step 4: Simplify right side
    15,169.86x = 176,867,716.45
  5. Step 5: Solve for x
    x = 176,867,716.45/15,169.86
  6. Step 6: Final answer
    x = 11,659.15

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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.