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Finding the Fourth Proportional to 6,801.36, 9,404.28 and 6,486

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Solution

The fourth proportional to 6,801.36, 9,404.28 and 6,486 is: 8,968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.36 : 9,404.28 = 6,486 : x
  2. Step 2: Convert to fraction form
    6,801.36/9,404.28 = 6,486/x
  3. Step 3: Cross multiply
    6,801.36x = 9,404.28 × 6,486
  4. Step 4: Simplify right side
    6,801.36x = 60,996,160.08
  5. Step 5: Solve for x
    x = 60,996,160.08/6,801.36
  6. Step 6: Final answer
    x = 8,968.23

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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.