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Finding the Fourth Proportional to 2,224, 3,069.16 and 1,396

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Solution

The fourth proportional to 2,224, 3,069.16 and 1,396 is: 1,926.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224 : 3,069.16 = 1,396 : x
  2. Step 2: Convert to fraction form
    2,224/3,069.16 = 1,396/x
  3. Step 3: Cross multiply
    2,224x = 3,069.16 × 1,396
  4. Step 4: Simplify right side
    2,224x = 4,284,547.36
  5. Step 5: Solve for x
    x = 4,284,547.36/2,224
  6. Step 6: Final answer
    x = 1,926.51

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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.