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Finding the Fourth Proportional to 6,976, 10,468.80 and 2,872

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Solution

The fourth proportional to 6,976, 10,468.80 and 2,872 is: 4,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976 : 10,468.80 = 2,872 : x
  2. Step 2: Convert to fraction form
    6,976/10,468.80 = 2,872/x
  3. Step 3: Cross multiply
    6,976x = 10,468.80 × 2,872
  4. Step 4: Simplify right side
    6,976x = 30,066,393.60
  5. Step 5: Solve for x
    x = 30,066,393.60/6,976
  6. Step 6: Final answer
    x = 4,309.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.