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Finding the Fourth Proportional to 6,506.53, 9,760.84 and 2,809.89

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Solution

The fourth proportional to 6,506.53, 9,760.84 and 2,809.89 is: 4,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.53 : 9,760.84 = 2,809.89 : x
  2. Step 2: Convert to fraction form
    6,506.53/9,760.84 = 2,809.89/x
  3. Step 3: Cross multiply
    6,506.53x = 9,760.84 × 2,809.89
  4. Step 4: Simplify right side
    6,506.53x = 27,426,879.68
  5. Step 5: Solve for x
    x = 27,426,879.68/6,506.53
  6. Step 6: Final answer
    x = 4,215.29

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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.