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Finding the Fourth Proportional to 31,879.50, 47,826.93 and 9,991.50

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Solution

The fourth proportional to 31,879.50, 47,826.93 and 9,991.50 is: 14,989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,879.50 : 47,826.93 = 9,991.50 : x
  2. Step 2: Convert to fraction form
    31,879.50/47,826.93 = 9,991.50/x
  3. Step 3: Cross multiply
    31,879.50x = 47,826.93 × 9,991.50
  4. Step 4: Simplify right side
    31,879.50x = 477,862,771.10
  5. Step 5: Solve for x
    x = 477,862,771.10/31,879.50
  6. Step 6: Final answer
    x = 14,989.66

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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.