Home / 31,422-47,145.12-10,645.44

Finding the Fourth Proportional to 31,422, 47,145.12 and 10,645.44

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Solution

The fourth proportional to 31,422, 47,145.12 and 10,645.44 is: 15,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,422 : 47,145.12 = 10,645.44 : x
  2. Step 2: Convert to fraction form
    31,422/47,145.12 = 10,645.44/x
  3. Step 3: Cross multiply
    31,422x = 47,145.12 × 10,645.44
  4. Step 4: Simplify right side
    31,422x = 501,880,546.25
  5. Step 5: Solve for x
    x = 501,880,546.25/31,422
  6. Step 6: Final answer
    x = 15,972.27

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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.