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Finding the Fourth Proportional to 22,419.76, 30,942.90 and 12,993.78

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Solution

The fourth proportional to 22,419.76, 30,942.90 and 12,993.78 is: 17,933.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,419.76 : 30,942.90 = 12,993.78 : x
  2. Step 2: Convert to fraction form
    22,419.76/30,942.90 = 12,993.78/x
  3. Step 3: Cross multiply
    22,419.76x = 30,942.90 × 12,993.78
  4. Step 4: Simplify right side
    22,419.76x = 402,065,235.16
  5. Step 5: Solve for x
    x = 402,065,235.16/22,419.76
  6. Step 6: Final answer
    x = 17,933.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.