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Finding the Fourth Proportional to 6,999.10, 9,658.76 and 3,855.29

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Solution

The fourth proportional to 6,999.10, 9,658.76 and 3,855.29 is: 5,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.10 : 9,658.76 = 3,855.29 : x
  2. Step 2: Convert to fraction form
    6,999.10/9,658.76 = 3,855.29/x
  3. Step 3: Cross multiply
    6,999.10x = 9,658.76 × 3,855.29
  4. Step 4: Simplify right side
    6,999.10x = 37,237,357.02
  5. Step 5: Solve for x
    x = 37,237,357.02/6,999.10
  6. Step 6: Final answer
    x = 5,320.30

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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.