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Finding the Fourth Proportional to 31,450, 43,401 and 17,302.54

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Solution

The fourth proportional to 31,450, 43,401 and 17,302.54 is: 23,877.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,450 : 43,401 = 17,302.54 : x
  2. Step 2: Convert to fraction form
    31,450/43,401 = 17,302.54/x
  3. Step 3: Cross multiply
    31,450x = 43,401 × 17,302.54
  4. Step 4: Simplify right side
    31,450x = 750,947,538.54
  5. Step 5: Solve for x
    x = 750,947,538.54/31,450
  6. Step 6: Final answer
    x = 23,877.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.