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Finding the Fourth Proportional to 2,896.68, 3,999.36 and 2,223.28

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Solution

The fourth proportional to 2,896.68, 3,999.36 and 2,223.28 is: 3,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.68 : 3,999.36 = 2,223.28 : x
  2. Step 2: Convert to fraction form
    2,896.68/3,999.36 = 2,223.28/x
  3. Step 3: Cross multiply
    2,896.68x = 3,999.36 × 2,223.28
  4. Step 4: Simplify right side
    2,896.68x = 8,891,697.10
  5. Step 5: Solve for x
    x = 8,891,697.10/2,896.68
  6. Step 6: Final answer
    x = 3,069.62

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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.