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Finding the Fourth Proportional to 6,802.80, 10,203 and 1,871.24

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Solution

The fourth proportional to 6,802.80, 10,203 and 1,871.24 is: 2,806.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.80 : 10,203 = 1,871.24 : x
  2. Step 2: Convert to fraction form
    6,802.80/10,203 = 1,871.24/x
  3. Step 3: Cross multiply
    6,802.80x = 10,203 × 1,871.24
  4. Step 4: Simplify right side
    6,802.80x = 19,092,261.72
  5. Step 5: Solve for x
    x = 19,092,261.72/6,802.80
  6. Step 6: Final answer
    x = 2,806.53

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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.