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Finding the Fourth Proportional to 40,022, 60,033.84 and 12,320

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Solution

The fourth proportional to 40,022, 60,033.84 and 12,320 is: 18,480.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,022 : 60,033.84 = 12,320 : x
  2. Step 2: Convert to fraction form
    40,022/60,033.84 = 12,320/x
  3. Step 3: Cross multiply
    40,022x = 60,033.84 × 12,320
  4. Step 4: Simplify right side
    40,022x = 739,616,908.80
  5. Step 5: Solve for x
    x = 739,616,908.80/40,022
  6. Step 6: Final answer
    x = 18,480.26

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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.