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Finding the Fourth Proportional to 6,615.66, 9,922.26 and 1,934.64

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Solution

The fourth proportional to 6,615.66, 9,922.26 and 1,934.64 is: 2,901.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.66 : 9,922.26 = 1,934.64 : x
  2. Step 2: Convert to fraction form
    6,615.66/9,922.26 = 1,934.64/x
  3. Step 3: Cross multiply
    6,615.66x = 9,922.26 × 1,934.64
  4. Step 4: Simplify right side
    6,615.66x = 19,196,001.09
  5. Step 5: Solve for x
    x = 19,196,001.09/6,615.66
  6. Step 6: Final answer
    x = 2,901.60

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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.