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Finding the Fourth Proportional to 25,754.77, 38,637.60 and 7,986.61

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Solution

The fourth proportional to 25,754.77, 38,637.60 and 7,986.61 is: 11,981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,754.77 : 38,637.60 = 7,986.61 : x
  2. Step 2: Convert to fraction form
    25,754.77/38,637.60 = 7,986.61/x
  3. Step 3: Cross multiply
    25,754.77x = 38,637.60 × 7,986.61
  4. Step 4: Simplify right side
    25,754.77x = 308,583,442.54
  5. Step 5: Solve for x
    x = 308,583,442.54/25,754.77
  6. Step 6: Final answer
    x = 11,981.60

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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.