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Finding the Fourth Proportional to 9,013, 13,521.68 and 2,857

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Solution

The fourth proportional to 9,013, 13,521.68 and 2,857 is: 4,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013 : 13,521.68 = 2,857 : x
  2. Step 2: Convert to fraction form
    9,013/13,521.68 = 2,857/x
  3. Step 3: Cross multiply
    9,013x = 13,521.68 × 2,857
  4. Step 4: Simplify right side
    9,013x = 38,631,439.76
  5. Step 5: Solve for x
    x = 38,631,439.76/9,013
  6. Step 6: Final answer
    x = 4,286.19

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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.