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Finding the Fourth Proportional to 7,829.99, 10,805.04 and 4,687.91

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Solution

The fourth proportional to 7,829.99, 10,805.04 and 4,687.91 is: 6,469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.99 : 10,805.04 = 4,687.91 : x
  2. Step 2: Convert to fraction form
    7,829.99/10,805.04 = 4,687.91/x
  3. Step 3: Cross multiply
    7,829.99x = 10,805.04 × 4,687.91
  4. Step 4: Simplify right side
    7,829.99x = 50,653,001.04
  5. Step 5: Solve for x
    x = 50,653,001.04/7,829.99
  6. Step 6: Final answer
    x = 6,469.11

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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.