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Finding the Fourth Proportional to 6,656.25, 9,965.88 and 4,318.95

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Solution

The fourth proportional to 6,656.25, 9,965.88 and 4,318.95 is: 6,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.25 : 9,965.88 = 4,318.95 : x
  2. Step 2: Convert to fraction form
    6,656.25/9,965.88 = 4,318.95/x
  3. Step 3: Cross multiply
    6,656.25x = 9,965.88 × 4,318.95
  4. Step 4: Simplify right side
    6,656.25x = 43,042,137.43
  5. Step 5: Solve for x
    x = 43,042,137.43/6,656.25
  6. Step 6: Final answer
    x = 6,466.42

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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.