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Finding the Fourth Proportional to 6,742.50, 9,304.68 and 3,948

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Solution

The fourth proportional to 6,742.50, 9,304.68 and 3,948 is: 5,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.50 : 9,304.68 = 3,948 : x
  2. Step 2: Convert to fraction form
    6,742.50/9,304.68 = 3,948/x
  3. Step 3: Cross multiply
    6,742.50x = 9,304.68 × 3,948
  4. Step 4: Simplify right side
    6,742.50x = 36,734,876.64
  5. Step 5: Solve for x
    x = 36,734,876.64/6,742.50
  6. Step 6: Final answer
    x = 5,448.26

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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.