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Finding the Fourth Proportional to 7,672.77, 11,490.67 and 5,200.10

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Solution

The fourth proportional to 7,672.77, 11,490.67 and 5,200.10 is: 7,787.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.77 : 11,490.67 = 5,200.10 : x
  2. Step 2: Convert to fraction form
    7,672.77/11,490.67 = 5,200.10/x
  3. Step 3: Cross multiply
    7,672.77x = 11,490.67 × 5,200.10
  4. Step 4: Simplify right side
    7,672.77x = 59,752,625.20
  5. Step 5: Solve for x
    x = 59,752,625.20/7,672.77
  6. Step 6: Final answer
    x = 7,787.62

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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.