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Finding the Fourth Proportional to 28,286, 42,396.72 and 13,473.92

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Solution

The fourth proportional to 28,286, 42,396.72 and 13,473.92 is: 20,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,286 : 42,396.72 = 13,473.92 : x
  2. Step 2: Convert to fraction form
    28,286/42,396.72 = 13,473.92/x
  3. Step 3: Cross multiply
    28,286x = 42,396.72 × 13,473.92
  4. Step 4: Simplify right side
    28,286x = 571,250,013.54
  5. Step 5: Solve for x
    x = 571,250,013.54/28,286
  6. Step 6: Final answer
    x = 20,195.50

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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.