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Finding the Fourth Proportional to 6,615.11, 9,922.91 and 1,684.86

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Solution

The fourth proportional to 6,615.11, 9,922.91 and 1,684.86 is: 2,527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.11 : 9,922.91 = 1,684.86 : x
  2. Step 2: Convert to fraction form
    6,615.11/9,922.91 = 1,684.86/x
  3. Step 3: Cross multiply
    6,615.11x = 9,922.91 × 1,684.86
  4. Step 4: Simplify right side
    6,615.11x = 16,718,705.72
  5. Step 5: Solve for x
    x = 16,718,705.72/6,615.11
  6. Step 6: Final answer
    x = 2,527.35

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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.