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Finding the Fourth Proportional to 31,574.24, 47,379.68 and 11,866.56

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Solution

The fourth proportional to 31,574.24, 47,379.68 and 11,866.56 is: 17,806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,574.24 : 47,379.68 = 11,866.56 : x
  2. Step 2: Convert to fraction form
    31,574.24/47,379.68 = 11,866.56/x
  3. Step 3: Cross multiply
    31,574.24x = 47,379.68 × 11,866.56
  4. Step 4: Simplify right side
    31,574.24x = 562,233,815.50
  5. Step 5: Solve for x
    x = 562,233,815.50/31,574.24
  6. Step 6: Final answer
    x = 17,806.73

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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.