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Finding the Fourth Proportional to 18,935.16, 28,402.02 and 7,839

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Solution

The fourth proportional to 18,935.16, 28,402.02 and 7,839 is: 11,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,935.16 : 28,402.02 = 7,839 : x
  2. Step 2: Convert to fraction form
    18,935.16/28,402.02 = 7,839/x
  3. Step 3: Cross multiply
    18,935.16x = 28,402.02 × 7,839
  4. Step 4: Simplify right side
    18,935.16x = 222,643,434.78
  5. Step 5: Solve for x
    x = 222,643,434.78/18,935.16
  6. Step 6: Final answer
    x = 11,758.20

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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.