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Finding the Fourth Proportional to 6,810, 9,397.80 and 4,330.32

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Solution

The fourth proportional to 6,810, 9,397.80 and 4,330.32 is: 5,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810 : 9,397.80 = 4,330.32 : x
  2. Step 2: Convert to fraction form
    6,810/9,397.80 = 4,330.32/x
  3. Step 3: Cross multiply
    6,810x = 9,397.80 × 4,330.32
  4. Step 4: Simplify right side
    6,810x = 40,695,481.30
  5. Step 5: Solve for x
    x = 40,695,481.30/6,810
  6. Step 6: Final answer
    x = 5,975.84

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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.