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Finding the Fourth Proportional to 2,378.30, 3,282.22 and 1,370.30

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Solution

The fourth proportional to 2,378.30, 3,282.22 and 1,370.30 is: 1,891.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.30 : 3,282.22 = 1,370.30 : x
  2. Step 2: Convert to fraction form
    2,378.30/3,282.22 = 1,370.30/x
  3. Step 3: Cross multiply
    2,378.30x = 3,282.22 × 1,370.30
  4. Step 4: Simplify right side
    2,378.30x = 4,497,626.07
  5. Step 5: Solve for x
    x = 4,497,626.07/2,378.30
  6. Step 6: Final answer
    x = 1,891.11

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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.