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Finding the Fourth Proportional to 2,384.75, 3,290.96 and 1,336.88

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Solution

The fourth proportional to 2,384.75, 3,290.96 and 1,336.88 is: 1,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.75 : 3,290.96 = 1,336.88 : x
  2. Step 2: Convert to fraction form
    2,384.75/3,290.96 = 1,336.88/x
  3. Step 3: Cross multiply
    2,384.75x = 3,290.96 × 1,336.88
  4. Step 4: Simplify right side
    2,384.75x = 4,399,618.60
  5. Step 5: Solve for x
    x = 4,399,618.60/2,384.75
  6. Step 6: Final answer
    x = 1,844.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.