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Finding the Fourth Proportional to 6,509.79, 9,764.28 and 2,809.42

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Solution

The fourth proportional to 6,509.79, 9,764.28 and 2,809.42 is: 4,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.79 : 9,764.28 = 2,809.42 : x
  2. Step 2: Convert to fraction form
    6,509.79/9,764.28 = 2,809.42/x
  3. Step 3: Cross multiply
    6,509.79x = 9,764.28 × 2,809.42
  4. Step 4: Simplify right side
    6,509.79x = 27,431,939.11
  5. Step 5: Solve for x
    x = 27,431,939.11/6,509.79
  6. Step 6: Final answer
    x = 4,213.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.