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Finding the Fourth Proportional to 6,803, 9,387.96 and 3,819.16

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Solution

The fourth proportional to 6,803, 9,387.96 and 3,819.16 is: 5,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803 : 9,387.96 = 3,819.16 : x
  2. Step 2: Convert to fraction form
    6,803/9,387.96 = 3,819.16/x
  3. Step 3: Cross multiply
    6,803x = 9,387.96 × 3,819.16
  4. Step 4: Simplify right side
    6,803x = 35,854,121.31
  5. Step 5: Solve for x
    x = 35,854,121.31/6,803
  6. Step 6: Final answer
    x = 5,270.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.