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Finding the Fourth Proportional to 51,891, 77,634.12 and 39,447

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Solution

The fourth proportional to 51,891, 77,634.12 and 39,447 is: 59,016.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,891 : 77,634.12 = 39,447 : x
  2. Step 2: Convert to fraction form
    51,891/77,634.12 = 39,447/x
  3. Step 3: Cross multiply
    51,891x = 77,634.12 × 39,447
  4. Step 4: Simplify right side
    51,891x = 3,062,433,131.64
  5. Step 5: Solve for x
    x = 3,062,433,131.64/51,891
  6. Step 6: Final answer
    x = 59,016.65

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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.