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Finding the Fourth Proportional to 10,135, 15,204.66 and 3,979

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Solution

The fourth proportional to 10,135, 15,204.66 and 3,979 is: 5,969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135 : 15,204.66 = 3,979 : x
  2. Step 2: Convert to fraction form
    10,135/15,204.66 = 3,979/x
  3. Step 3: Cross multiply
    10,135x = 15,204.66 × 3,979
  4. Step 4: Simplify right side
    10,135x = 60,499,342.14
  5. Step 5: Solve for x
    x = 60,499,342.14/10,135
  6. Step 6: Final answer
    x = 5,969.35

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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.