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Finding the Fourth Proportional to 39,993.88, 59,993 and 10,411.80

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Solution

The fourth proportional to 39,993.88, 59,993 and 10,411.80 is: 15,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,993.88 : 59,993 = 10,411.80 : x
  2. Step 2: Convert to fraction form
    39,993.88/59,993 = 10,411.80/x
  3. Step 3: Cross multiply
    39,993.88x = 59,993 × 10,411.80
  4. Step 4: Simplify right side
    39,993.88x = 624,635,117.40
  5. Step 5: Solve for x
    x = 624,635,117.40/39,993.88
  6. Step 6: Final answer
    x = 15,618.27

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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.