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Finding the Fourth Proportional to 31,986.77, 47,978.77 and 10,928.69

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Solution

The fourth proportional to 31,986.77, 47,978.77 and 10,928.69 is: 16,392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,986.77 : 47,978.77 = 10,928.69 : x
  2. Step 2: Convert to fraction form
    31,986.77/47,978.77 = 10,928.69/x
  3. Step 3: Cross multiply
    31,986.77x = 47,978.77 × 10,928.69
  4. Step 4: Simplify right side
    31,986.77x = 524,345,103.91
  5. Step 5: Solve for x
    x = 524,345,103.91/31,986.77
  6. Step 6: Final answer
    x = 16,392.56

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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.