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Finding the Fourth Proportional to 3,331, 4,993.77 and 1,384.60

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Solution

The fourth proportional to 3,331, 4,993.77 and 1,384.60 is: 2,075.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,331 : 4,993.77 = 1,384.60 : x
  2. Step 2: Convert to fraction form
    3,331/4,993.77 = 1,384.60/x
  3. Step 3: Cross multiply
    3,331x = 4,993.77 × 1,384.60
  4. Step 4: Simplify right side
    3,331x = 6,914,373.94
  5. Step 5: Solve for x
    x = 6,914,373.94/3,331
  6. Step 6: Final answer
    x = 2,075.77

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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.