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Finding the Fourth Proportional to 6,883.28, 10,376.78 and 6,437.84

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Solution

The fourth proportional to 6,883.28, 10,376.78 and 6,437.84 is: 9,705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.28 : 10,376.78 = 6,437.84 : x
  2. Step 2: Convert to fraction form
    6,883.28/10,376.78 = 6,437.84/x
  3. Step 3: Cross multiply
    6,883.28x = 10,376.78 × 6,437.84
  4. Step 4: Simplify right side
    6,883.28x = 66,804,049.36
  5. Step 5: Solve for x
    x = 66,804,049.36/6,883.28
  6. Step 6: Final answer
    x = 9,705.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.