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Finding the Fourth Proportional to 31,143.38, 46,722.96 and 8,956.26

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Solution

The fourth proportional to 31,143.38, 46,722.96 and 8,956.26 is: 13,436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,143.38 : 46,722.96 = 8,956.26 : x
  2. Step 2: Convert to fraction form
    31,143.38/46,722.96 = 8,956.26/x
  3. Step 3: Cross multiply
    31,143.38x = 46,722.96 × 8,956.26
  4. Step 4: Simplify right side
    31,143.38x = 418,462,977.73
  5. Step 5: Solve for x
    x = 418,462,977.73/31,143.38
  6. Step 6: Final answer
    x = 13,436.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.