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Finding the Fourth Proportional to 29,972.22, 44,958.41 and 7,785.78

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Solution

The fourth proportional to 29,972.22, 44,958.41 and 7,785.78 is: 11,678.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,972.22 : 44,958.41 = 7,785.78 : x
  2. Step 2: Convert to fraction form
    29,972.22/44,958.41 = 7,785.78/x
  3. Step 3: Cross multiply
    29,972.22x = 44,958.41 × 7,785.78
  4. Step 4: Simplify right side
    29,972.22x = 350,036,289.41
  5. Step 5: Solve for x
    x = 350,036,289.41/29,972.22
  6. Step 6: Final answer
    x = 11,678.69

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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.