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Finding the Fourth Proportional to 19,286, 28,933.38 and 6,974

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Solution

The fourth proportional to 19,286, 28,933.38 and 6,974 is: 10,462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,286 : 28,933.38 = 6,974 : x
  2. Step 2: Convert to fraction form
    19,286/28,933.38 = 6,974/x
  3. Step 3: Cross multiply
    19,286x = 28,933.38 × 6,974
  4. Step 4: Simplify right side
    19,286x = 201,781,392.12
  5. Step 5: Solve for x
    x = 201,781,392.12/19,286
  6. Step 6: Final answer
    x = 10,462.58

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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.