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Finding the Fourth Proportional to 31,410.94, 43,347.12 and 17,263.78

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Solution

The fourth proportional to 31,410.94, 43,347.12 and 17,263.78 is: 23,824.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,410.94 : 43,347.12 = 17,263.78 : x
  2. Step 2: Convert to fraction form
    31,410.94/43,347.12 = 17,263.78/x
  3. Step 3: Cross multiply
    31,410.94x = 43,347.12 × 17,263.78
  4. Step 4: Simplify right side
    31,410.94x = 748,335,143.31
  5. Step 5: Solve for x
    x = 748,335,143.31/31,410.94
  6. Step 6: Final answer
    x = 23,824.03

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