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Finding the Fourth Proportional to 2,882.19, 4,323.41 and 802.17

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Solution

The fourth proportional to 2,882.19, 4,323.41 and 802.17 is: 1,203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.19 : 4,323.41 = 802.17 : x
  2. Step 2: Convert to fraction form
    2,882.19/4,323.41 = 802.17/x
  3. Step 3: Cross multiply
    2,882.19x = 4,323.41 × 802.17
  4. Step 4: Simplify right side
    2,882.19x = 3,468,109.80
  5. Step 5: Solve for x
    x = 3,468,109.80/2,882.19
  6. Step 6: Final answer
    x = 1,203.29

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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.