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Finding the Fourth Proportional to 6,648.36, 9,971.28 and 2,265.36

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Solution

The fourth proportional to 6,648.36, 9,971.28 and 2,265.36 is: 3,397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.36 : 9,971.28 = 2,265.36 : x
  2. Step 2: Convert to fraction form
    6,648.36/9,971.28 = 2,265.36/x
  3. Step 3: Cross multiply
    6,648.36x = 9,971.28 × 2,265.36
  4. Step 4: Simplify right side
    6,648.36x = 22,588,538.86
  5. Step 5: Solve for x
    x = 22,588,538.86/6,648.36
  6. Step 6: Final answer
    x = 3,397.61

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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.