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Finding the Fourth Proportional to 2,816.84, 4,223.74 and 868.52

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Solution

The fourth proportional to 2,816.84, 4,223.74 and 868.52 is: 1,302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.84 : 4,223.74 = 868.52 : x
  2. Step 2: Convert to fraction form
    2,816.84/4,223.74 = 868.52/x
  3. Step 3: Cross multiply
    2,816.84x = 4,223.74 × 868.52
  4. Step 4: Simplify right side
    2,816.84x = 3,668,402.66
  5. Step 5: Solve for x
    x = 3,668,402.66/2,816.84
  6. Step 6: Final answer
    x = 1,302.31

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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.