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Finding the Fourth Proportional to 7,866.86, 11,797.45 and 2,671.52

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Solution

The fourth proportional to 7,866.86, 11,797.45 and 2,671.52 is: 4,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.86 : 11,797.45 = 2,671.52 : x
  2. Step 2: Convert to fraction form
    7,866.86/11,797.45 = 2,671.52/x
  3. Step 3: Cross multiply
    7,866.86x = 11,797.45 × 2,671.52
  4. Step 4: Simplify right side
    7,866.86x = 31,517,057.96
  5. Step 5: Solve for x
    x = 31,517,057.96/7,866.86
  6. Step 6: Final answer
    x = 4,006.31

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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.