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Finding the Fourth Proportional to 6,646.75, 9,971.33 and 2,751.46

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Solution

The fourth proportional to 6,646.75, 9,971.33 and 2,751.46 is: 4,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.75 : 9,971.33 = 2,751.46 : x
  2. Step 2: Convert to fraction form
    6,646.75/9,971.33 = 2,751.46/x
  3. Step 3: Cross multiply
    6,646.75x = 9,971.33 × 2,751.46
  4. Step 4: Simplify right side
    6,646.75x = 27,435,676.96
  5. Step 5: Solve for x
    x = 27,435,676.96/6,646.75
  6. Step 6: Final answer
    x = 4,127.68

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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.