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Finding the Fourth Proportional to 31,405, 47,114.44 and 10,351.52

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Solution

The fourth proportional to 31,405, 47,114.44 and 10,351.52 is: 15,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,405 : 47,114.44 = 10,351.52 : x
  2. Step 2: Convert to fraction form
    31,405/47,114.44 = 10,351.52/x
  3. Step 3: Cross multiply
    31,405x = 47,114.44 × 10,351.52
  4. Step 4: Simplify right side
    31,405x = 487,706,067.95
  5. Step 5: Solve for x
    x = 487,706,067.95/31,405
  6. Step 6: Final answer
    x = 15,529.57

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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.