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Finding the Fourth Proportional to 31,478.96, 47,226.58 and 11,757.69

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Solution

The fourth proportional to 31,478.96, 47,226.58 and 11,757.69 is: 17,639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,478.96 : 47,226.58 = 11,757.69 : x
  2. Step 2: Convert to fraction form
    31,478.96/47,226.58 = 11,757.69/x
  3. Step 3: Cross multiply
    31,478.96x = 47,226.58 × 11,757.69
  4. Step 4: Simplify right side
    31,478.96x = 555,275,458.01
  5. Step 5: Solve for x
    x = 555,275,458.01/31,478.96
  6. Step 6: Final answer
    x = 17,639.57

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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.