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Finding the Fourth Proportional to 6,986.66, 9,636.71 and 4,744.64

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Solution

The fourth proportional to 6,986.66, 9,636.71 and 4,744.64 is: 6,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.66 : 9,636.71 = 4,744.64 : x
  2. Step 2: Convert to fraction form
    6,986.66/9,636.71 = 4,744.64/x
  3. Step 3: Cross multiply
    6,986.66x = 9,636.71 × 4,744.64
  4. Step 4: Simplify right side
    6,986.66x = 45,722,737.90
  5. Step 5: Solve for x
    x = 45,722,737.90/6,986.66
  6. Step 6: Final answer
    x = 6,544.29

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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.