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Finding the Fourth Proportional to 6,615.21, 9,922.54 and 1,684.97

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Solution

The fourth proportional to 6,615.21, 9,922.54 and 1,684.97 is: 2,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.21 : 9,922.54 = 1,684.97 : x
  2. Step 2: Convert to fraction form
    6,615.21/9,922.54 = 1,684.97/x
  3. Step 3: Cross multiply
    6,615.21x = 9,922.54 × 1,684.97
  4. Step 4: Simplify right side
    6,615.21x = 16,719,128.40
  5. Step 5: Solve for x
    x = 16,719,128.40/6,615.21
  6. Step 6: Final answer
    x = 2,527.38

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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.