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Finding the Fourth Proportional to 6,656.21, 9,986.67 and 2,958.11

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Solution

The fourth proportional to 6,656.21, 9,986.67 and 2,958.11 is: 4,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.21 : 9,986.67 = 2,958.11 : x
  2. Step 2: Convert to fraction form
    6,656.21/9,986.67 = 2,958.11/x
  3. Step 3: Cross multiply
    6,656.21x = 9,986.67 × 2,958.11
  4. Step 4: Simplify right side
    6,656.21x = 29,541,668.39
  5. Step 5: Solve for x
    x = 29,541,668.39/6,656.21
  6. Step 6: Final answer
    x = 4,438.21

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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.