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Finding the Fourth Proportional to 6,656.90, 9,987.71 and 2,958.80

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Solution

The fourth proportional to 6,656.90, 9,987.71 and 2,958.80 is: 4,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.90 : 9,987.71 = 2,958.80 : x
  2. Step 2: Convert to fraction form
    6,656.90/9,987.71 = 2,958.80/x
  3. Step 3: Cross multiply
    6,656.90x = 9,987.71 × 2,958.80
  4. Step 4: Simplify right side
    6,656.90x = 29,551,571.62
  5. Step 5: Solve for x
    x = 29,551,571.62/6,656.90
  6. Step 6: Final answer
    x = 4,439.24

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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.