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Finding the Fourth Proportional to 6,428.70, 8,872.20 and 3,776.00

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Solution

The fourth proportional to 6,428.70, 8,872.20 and 3,776.00 is: 5,211.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.70 : 8,872.20 = 3,776.00 : x
  2. Step 2: Convert to fraction form
    6,428.70/8,872.20 = 3,776.00/x
  3. Step 3: Cross multiply
    6,428.70x = 8,872.20 × 3,776.00
  4. Step 4: Simplify right side
    6,428.70x = 33,501,382.84
  5. Step 5: Solve for x
    x = 33,501,382.84/6,428.70
  6. Step 6: Final answer
    x = 5,211.22

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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.