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Finding the Fourth Proportional to 6,802.88, 10,203.84 and 1,872.80

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Solution

The fourth proportional to 6,802.88, 10,203.84 and 1,872.80 is: 2,809.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.88 : 10,203.84 = 1,872.80 : x
  2. Step 2: Convert to fraction form
    6,802.88/10,203.84 = 1,872.80/x
  3. Step 3: Cross multiply
    6,802.88x = 10,203.84 × 1,872.80
  4. Step 4: Simplify right side
    6,802.88x = 19,109,751.55
  5. Step 5: Solve for x
    x = 19,109,751.55/6,802.88
  6. Step 6: Final answer
    x = 2,809.07

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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.