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Finding the Fourth Proportional to 18,432, 27,604.08 and 10,617.12

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Solution

The fourth proportional to 18,432, 27,604.08 and 10,617.12 is: 15,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,432 : 27,604.08 = 10,617.12 : x
  2. Step 2: Convert to fraction form
    18,432/27,604.08 = 10,617.12/x
  3. Step 3: Cross multiply
    18,432x = 27,604.08 × 10,617.12
  4. Step 4: Simplify right side
    18,432x = 293,075,829.85
  5. Step 5: Solve for x
    x = 293,075,829.85/18,432
  6. Step 6: Final answer
    x = 15,900.38

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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.