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Finding the Fourth Proportional to 31,986.33, 47,978.13 and 10,928.26

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Solution

The fourth proportional to 31,986.33, 47,978.13 and 10,928.26 is: 16,391.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,986.33 : 47,978.13 = 10,928.26 : x
  2. Step 2: Convert to fraction form
    31,986.33/47,978.13 = 10,928.26/x
  3. Step 3: Cross multiply
    31,986.33x = 47,978.13 × 10,928.26
  4. Step 4: Simplify right side
    31,986.33x = 524,317,478.95
  5. Step 5: Solve for x
    x = 524,317,478.95/31,986.33
  6. Step 6: Final answer
    x = 16,391.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.