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Finding the Fourth Proportional to 6,661.59, 9,188.94 and 3,971.04

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Solution

The fourth proportional to 6,661.59, 9,188.94 and 3,971.04 is: 5,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.59 : 9,188.94 = 3,971.04 : x
  2. Step 2: Convert to fraction form
    6,661.59/9,188.94 = 3,971.04/x
  3. Step 3: Cross multiply
    6,661.59x = 9,188.94 × 3,971.04
  4. Step 4: Simplify right side
    6,661.59x = 36,489,648.30
  5. Step 5: Solve for x
    x = 36,489,648.30/6,661.59
  6. Step 6: Final answer
    x = 5,477.62

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1.5x scale

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.