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Finding the Fourth Proportional to 10,206, 15,309 and 4,054.32

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Solution

The fourth proportional to 10,206, 15,309 and 4,054.32 is: 6,081.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206 : 15,309 = 4,054.32 : x
  2. Step 2: Convert to fraction form
    10,206/15,309 = 4,054.32/x
  3. Step 3: Cross multiply
    10,206x = 15,309 × 4,054.32
  4. Step 4: Simplify right side
    10,206x = 62,067,584.88
  5. Step 5: Solve for x
    x = 62,067,584.88/10,206
  6. Step 6: Final answer
    x = 6,081.48

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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.