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Finding the Fourth Proportional to 31,596.88, 47,377.68 and 19,885

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Solution

The fourth proportional to 31,596.88, 47,377.68 and 19,885 is: 29,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596.88 : 47,377.68 = 19,885 : x
  2. Step 2: Convert to fraction form
    31,596.88/47,377.68 = 19,885/x
  3. Step 3: Cross multiply
    31,596.88x = 47,377.68 × 19,885
  4. Step 4: Simplify right side
    31,596.88x = 942,105,166.80
  5. Step 5: Solve for x
    x = 942,105,166.80/31,596.88
  6. Step 6: Final answer
    x = 29,816.40

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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.