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Finding the Fourth Proportional to 31,408.20, 47,111.04 and 10,631.70

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Solution

The fourth proportional to 31,408.20, 47,111.04 and 10,631.70 is: 15,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408.20 : 47,111.04 = 10,631.70 : x
  2. Step 2: Convert to fraction form
    31,408.20/47,111.04 = 10,631.70/x
  3. Step 3: Cross multiply
    31,408.20x = 47,111.04 × 10,631.70
  4. Step 4: Simplify right side
    31,408.20x = 500,870,443.97
  5. Step 5: Solve for x
    x = 500,870,443.97/31,408.20
  6. Step 6: Final answer
    x = 15,947.12

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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.