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Finding the Fourth Proportional to 31,578.63, 43,578.14 and 17,431.17

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Solution

The fourth proportional to 31,578.63, 43,578.14 and 17,431.17 is: 24,054.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.63 : 43,578.14 = 17,431.17 : x
  2. Step 2: Convert to fraction form
    31,578.63/43,578.14 = 17,431.17/x
  3. Step 3: Cross multiply
    31,578.63x = 43,578.14 × 17,431.17
  4. Step 4: Simplify right side
    31,578.63x = 759,617,879.47
  5. Step 5: Solve for x
    x = 759,617,879.47/31,578.63
  6. Step 6: Final answer
    x = 24,054.81

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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.