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Finding the Fourth Proportional to 25,978.86, 38,965.05 and 10,396.62

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Solution

The fourth proportional to 25,978.86, 38,965.05 and 10,396.62 is: 15,593.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978.86 : 38,965.05 = 10,396.62 : x
  2. Step 2: Convert to fraction form
    25,978.86/38,965.05 = 10,396.62/x
  3. Step 3: Cross multiply
    25,978.86x = 38,965.05 × 10,396.62
  4. Step 4: Simplify right side
    25,978.86x = 405,104,818.13
  5. Step 5: Solve for x
    x = 405,104,818.13/25,978.86
  6. Step 6: Final answer
    x = 15,593.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.