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Finding the Fourth Proportional to 6,807.76, 10,209.48 and 2,647.48

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Solution

The fourth proportional to 6,807.76, 10,209.48 and 2,647.48 is: 3,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.76 : 10,209.48 = 2,647.48 : x
  2. Step 2: Convert to fraction form
    6,807.76/10,209.48 = 2,647.48/x
  3. Step 3: Cross multiply
    6,807.76x = 10,209.48 × 2,647.48
  4. Step 4: Simplify right side
    6,807.76x = 27,029,394.11
  5. Step 5: Solve for x
    x = 27,029,394.11/6,807.76
  6. Step 6: Final answer
    x = 3,970.38

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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.