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Finding the Fourth Proportional to 10,233, 15,339.78 and 3,988.44

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Solution

The fourth proportional to 10,233, 15,339.78 and 3,988.44 is: 5,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233 : 15,339.78 = 3,988.44 : x
  2. Step 2: Convert to fraction form
    10,233/15,339.78 = 3,988.44/x
  3. Step 3: Cross multiply
    10,233x = 15,339.78 × 3,988.44
  4. Step 4: Simplify right side
    10,233x = 61,181,792.14
  5. Step 5: Solve for x
    x = 61,181,792.14/10,233
  6. Step 6: Final answer
    x = 5,978.87

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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.