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Finding the Fourth Proportional to 25,577, 38,365.52 and 7,109

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Solution

The fourth proportional to 25,577, 38,365.52 and 7,109 is: 10,663.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,577 : 38,365.52 = 7,109 : x
  2. Step 2: Convert to fraction form
    25,577/38,365.52 = 7,109/x
  3. Step 3: Cross multiply
    25,577x = 38,365.52 × 7,109
  4. Step 4: Simplify right side
    25,577x = 272,740,481.68
  5. Step 5: Solve for x
    x = 272,740,481.68/25,577
  6. Step 6: Final answer
    x = 10,663.51

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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.