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Finding the Fourth Proportional to 6,729.57, 9,290.45 and 4,719.15

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Solution

The fourth proportional to 6,729.57, 9,290.45 and 4,719.15 is: 6,514.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.57 : 9,290.45 = 4,719.15 : x
  2. Step 2: Convert to fraction form
    6,729.57/9,290.45 = 4,719.15/x
  3. Step 3: Cross multiply
    6,729.57x = 9,290.45 × 4,719.15
  4. Step 4: Simplify right side
    6,729.57x = 43,843,073.03
  5. Step 5: Solve for x
    x = 43,843,073.03/6,729.57
  6. Step 6: Final answer
    x = 6,514.99

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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.