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Finding the Fourth Proportional to 22,784.80, 34,177.20 and 12,287.20

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Solution

The fourth proportional to 22,784.80, 34,177.20 and 12,287.20 is: 18,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784.80 : 34,177.20 = 12,287.20 : x
  2. Step 2: Convert to fraction form
    22,784.80/34,177.20 = 12,287.20/x
  3. Step 3: Cross multiply
    22,784.80x = 34,177.20 × 12,287.20
  4. Step 4: Simplify right side
    22,784.80x = 419,942,091.84
  5. Step 5: Solve for x
    x = 419,942,091.84/22,784.80
  6. Step 6: Final answer
    x = 18,430.80

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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.