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Finding the Fourth Proportional to 2,802.18, 4,202.28 and 827.28

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Solution

The fourth proportional to 2,802.18, 4,202.28 and 827.28 is: 1,240.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.18 : 4,202.28 = 827.28 : x
  2. Step 2: Convert to fraction form
    2,802.18/4,202.28 = 827.28/x
  3. Step 3: Cross multiply
    2,802.18x = 4,202.28 × 827.28
  4. Step 4: Simplify right side
    2,802.18x = 3,476,462.20
  5. Step 5: Solve for x
    x = 3,476,462.20/2,802.18
  6. Step 6: Final answer
    x = 1,240.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.