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Finding the Fourth Proportional to 31,861.49, 47,789.13 and 9,675.05

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Solution

The fourth proportional to 31,861.49, 47,789.13 and 9,675.05 is: 14,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,861.49 : 47,789.13 = 9,675.05 : x
  2. Step 2: Convert to fraction form
    31,861.49/47,789.13 = 9,675.05/x
  3. Step 3: Cross multiply
    31,861.49x = 47,789.13 × 9,675.05
  4. Step 4: Simplify right side
    31,861.49x = 462,362,341.68
  5. Step 5: Solve for x
    x = 462,362,341.68/31,861.49
  6. Step 6: Final answer
    x = 14,511.64

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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.