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Finding the Fourth Proportional to 31,578.94, 43,578.94 and 17,431.79

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Solution

The fourth proportional to 31,578.94, 43,578.94 and 17,431.79 is: 24,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.94 : 43,578.94 = 17,431.79 : x
  2. Step 2: Convert to fraction form
    31,578.94/43,578.94 = 17,431.79/x
  3. Step 3: Cross multiply
    31,578.94x = 43,578.94 × 17,431.79
  4. Step 4: Simplify right side
    31,578.94x = 759,658,930.50
  5. Step 5: Solve for x
    x = 759,658,930.50/31,578.94
  6. Step 6: Final answer
    x = 24,055.87

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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.