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Finding the Fourth Proportional to 6,991.75, 10,484.20 and 3,290.86

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Solution

The fourth proportional to 6,991.75, 10,484.20 and 3,290.86 is: 4,934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.75 : 10,484.20 = 3,290.86 : x
  2. Step 2: Convert to fraction form
    6,991.75/10,484.20 = 3,290.86/x
  3. Step 3: Cross multiply
    6,991.75x = 10,484.20 × 3,290.86
  4. Step 4: Simplify right side
    6,991.75x = 34,502,034.41
  5. Step 5: Solve for x
    x = 34,502,034.41/6,991.75
  6. Step 6: Final answer
    x = 4,934.68

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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.