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Finding the Fourth Proportional to 31,406, 43,338.36 and 17,258.48

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Solution

The fourth proportional to 31,406, 43,338.36 and 17,258.48 is: 23,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406 : 43,338.36 = 17,258.48 : x
  2. Step 2: Convert to fraction form
    31,406/43,338.36 = 17,258.48/x
  3. Step 3: Cross multiply
    31,406x = 43,338.36 × 17,258.48
  4. Step 4: Simplify right side
    31,406x = 747,954,219.29
  5. Step 5: Solve for x
    x = 747,954,219.29/31,406
  6. Step 6: Final answer
    x = 23,815.65

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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.