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Finding the Fourth Proportional to 31,881, 47,806.80 and 9,689.44

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Solution

The fourth proportional to 31,881, 47,806.80 and 9,689.44 is: 14,529.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,881 : 47,806.80 = 9,689.44 : x
  2. Step 2: Convert to fraction form
    31,881/47,806.80 = 9,689.44/x
  3. Step 3: Cross multiply
    31,881x = 47,806.80 × 9,689.44
  4. Step 4: Simplify right side
    31,881x = 463,221,120.19
  5. Step 5: Solve for x
    x = 463,221,120.19/31,881
  6. Step 6: Final answer
    x = 14,529.69

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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.