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Finding the Fourth Proportional to 2,224, 3,069.16 and 1,340.08

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Solution

The fourth proportional to 2,224, 3,069.16 and 1,340.08 is: 1,849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224 : 3,069.16 = 1,340.08 : x
  2. Step 2: Convert to fraction form
    2,224/3,069.16 = 1,340.08/x
  3. Step 3: Cross multiply
    2,224x = 3,069.16 × 1,340.08
  4. Step 4: Simplify right side
    2,224x = 4,112,919.93
  5. Step 5: Solve for x
    x = 4,112,919.93/2,224
  6. Step 6: Final answer
    x = 1,849.33

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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.