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Finding the Fourth Proportional to 9,238, 13,857.12 and 3,082

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Solution

The fourth proportional to 9,238, 13,857.12 and 3,082 is: 4,623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238 : 13,857.12 = 3,082 : x
  2. Step 2: Convert to fraction form
    9,238/13,857.12 = 3,082/x
  3. Step 3: Cross multiply
    9,238x = 13,857.12 × 3,082
  4. Step 4: Simplify right side
    9,238x = 42,707,643.84
  5. Step 5: Solve for x
    x = 42,707,643.84/9,238
  6. Step 6: Final answer
    x = 4,623.04

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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.