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Finding the Fourth Proportional to 28,667, 43,002.12 and 10,199

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Solution

The fourth proportional to 28,667, 43,002.12 and 10,199 is: 15,299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,667 : 43,002.12 = 10,199 : x
  2. Step 2: Convert to fraction form
    28,667/43,002.12 = 10,199/x
  3. Step 3: Cross multiply
    28,667x = 43,002.12 × 10,199
  4. Step 4: Simplify right side
    28,667x = 438,578,621.88
  5. Step 5: Solve for x
    x = 438,578,621.88/28,667
  6. Step 6: Final answer
    x = 15,299.08

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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.