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Finding the Fourth Proportional to 18,974, 28,429.80 and 13,400.24

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Solution

The fourth proportional to 18,974, 28,429.80 and 13,400.24 is: 20,078.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,974 : 28,429.80 = 13,400.24 : x
  2. Step 2: Convert to fraction form
    18,974/28,429.80 = 13,400.24/x
  3. Step 3: Cross multiply
    18,974x = 28,429.80 × 13,400.24
  4. Step 4: Simplify right side
    18,974x = 380,966,143.15
  5. Step 5: Solve for x
    x = 380,966,143.15/18,974
  6. Step 6: Final answer
    x = 20,078.33

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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.