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Finding the Fourth Proportional to 22,428.70, 30,944.60 and 13,478.20

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Solution

The fourth proportional to 22,428.70, 30,944.60 and 13,478.20 is: 18,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,428.70 : 30,944.60 = 13,478.20 : x
  2. Step 2: Convert to fraction form
    22,428.70/30,944.60 = 13,478.20/x
  3. Step 3: Cross multiply
    22,428.70x = 30,944.60 × 13,478.20
  4. Step 4: Simplify right side
    22,428.70x = 417,077,507.72
  5. Step 5: Solve for x
    x = 417,077,507.72/22,428.70
  6. Step 6: Final answer
    x = 18,595.71

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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.