Home / 2,282.56-3,424.67-802.20

Finding the Fourth Proportional to 2,282.56, 3,424.67 and 802.20

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Solution

The fourth proportional to 2,282.56, 3,424.67 and 802.20 is: 1,203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.56 : 3,424.67 = 802.20 : x
  2. Step 2: Convert to fraction form
    2,282.56/3,424.67 = 802.20/x
  3. Step 3: Cross multiply
    2,282.56x = 3,424.67 × 802.20
  4. Step 4: Simplify right side
    2,282.56x = 2,747,255.47
  5. Step 5: Solve for x
    x = 2,747,255.47/2,282.56
  6. Step 6: Final answer
    x = 1,203.58

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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.