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Finding the Fourth Proportional to 18,964.71, 28,424.03 and 13,419.68

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Solution

The fourth proportional to 18,964.71, 28,424.03 and 13,419.68 is: 20,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,964.71 : 28,424.03 = 13,419.68 : x
  2. Step 2: Convert to fraction form
    18,964.71/28,424.03 = 13,419.68/x
  3. Step 3: Cross multiply
    18,964.71x = 28,424.03 × 13,419.68
  4. Step 4: Simplify right side
    18,964.71x = 381,441,177.69
  5. Step 5: Solve for x
    x = 381,441,177.69/18,964.71
  6. Step 6: Final answer
    x = 20,113.21

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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.