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Finding the Fourth Proportional to 31,969.10, 47,951.92 and 9,782.48

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Solution

The fourth proportional to 31,969.10, 47,951.92 and 9,782.48 is: 14,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.10 : 47,951.92 = 9,782.48 : x
  2. Step 2: Convert to fraction form
    31,969.10/47,951.92 = 9,782.48/x
  3. Step 3: Cross multiply
    31,969.10x = 47,951.92 × 9,782.48
  4. Step 4: Simplify right side
    31,969.10x = 469,088,698.36
  5. Step 5: Solve for x
    x = 469,088,698.36/31,969.10
  6. Step 6: Final answer
    x = 14,673.19

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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.