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Finding the Fourth Proportional to 31,396, 43,326.56 and 17,055.90

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Solution

The fourth proportional to 31,396, 43,326.56 and 17,055.90 is: 23,537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,396 : 43,326.56 = 17,055.90 : x
  2. Step 2: Convert to fraction form
    31,396/43,326.56 = 17,055.90/x
  3. Step 3: Cross multiply
    31,396x = 43,326.56 × 17,055.90
  4. Step 4: Simplify right side
    31,396x = 738,973,474.70
  5. Step 5: Solve for x
    x = 738,973,474.70/31,396
  6. Step 6: Final answer
    x = 23,537.19

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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.