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Finding the Fourth Proportional to 6,803.68, 10,207.14 and 2,643.80

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Solution

The fourth proportional to 6,803.68, 10,207.14 and 2,643.80 is: 3,966.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.68 : 10,207.14 = 2,643.80 : x
  2. Step 2: Convert to fraction form
    6,803.68/10,207.14 = 2,643.80/x
  3. Step 3: Cross multiply
    6,803.68x = 10,207.14 × 2,643.80
  4. Step 4: Simplify right side
    6,803.68x = 26,985,636.73
  5. Step 5: Solve for x
    x = 26,985,636.73/6,803.68
  6. Step 6: Final answer
    x = 3,966.33

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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.