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Finding the Fourth Proportional to 6,742, 9,304.92 and 6,446.80

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Solution

The fourth proportional to 6,742, 9,304.92 and 6,446.80 is: 8,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742 : 9,304.92 = 6,446.80 : x
  2. Step 2: Convert to fraction form
    6,742/9,304.92 = 6,446.80/x
  3. Step 3: Cross multiply
    6,742x = 9,304.92 × 6,446.80
  4. Step 4: Simplify right side
    6,742x = 59,986,958.26
  5. Step 5: Solve for x
    x = 59,986,958.26/6,742
  6. Step 6: Final answer
    x = 8,897.50

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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.