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Finding the Fourth Proportional to 2,062.62, 2,846.28 and 1,223.28

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Solution

The fourth proportional to 2,062.62, 2,846.28 and 1,223.28 is: 1,688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.62 : 2,846.28 = 1,223.28 : x
  2. Step 2: Convert to fraction form
    2,062.62/2,846.28 = 1,223.28/x
  3. Step 3: Cross multiply
    2,062.62x = 2,846.28 × 1,223.28
  4. Step 4: Simplify right side
    2,062.62x = 3,481,797.40
  5. Step 5: Solve for x
    x = 3,481,797.40/2,062.62
  6. Step 6: Final answer
    x = 1,688.05

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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.