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Finding the Fourth Proportional to 6,936, 10,400.40 and 6,147.36

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Solution

The fourth proportional to 6,936, 10,400.40 and 6,147.36 is: 9,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936 : 10,400.40 = 6,147.36 : x
  2. Step 2: Convert to fraction form
    6,936/10,400.40 = 6,147.36/x
  3. Step 3: Cross multiply
    6,936x = 10,400.40 × 6,147.36
  4. Step 4: Simplify right side
    6,936x = 63,935,002.94
  5. Step 5: Solve for x
    x = 63,935,002.94/6,936
  6. Step 6: Final answer
    x = 9,217.85

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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.