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Finding the Fourth Proportional to 6,808.80, 9,397.92 and 4,158

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Solution

The fourth proportional to 6,808.80, 9,397.92 and 4,158 is: 5,739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.80 : 9,397.92 = 4,158 : x
  2. Step 2: Convert to fraction form
    6,808.80/9,397.92 = 4,158/x
  3. Step 3: Cross multiply
    6,808.80x = 9,397.92 × 4,158
  4. Step 4: Simplify right side
    6,808.80x = 39,076,551.36
  5. Step 5: Solve for x
    x = 39,076,551.36/6,808.80
  6. Step 6: Final answer
    x = 5,739.12

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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.