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Finding the Fourth Proportional to 3,295.86, 4,947.06 and 2,686.74

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Solution

The fourth proportional to 3,295.86, 4,947.06 and 2,686.74 is: 4,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.86 : 4,947.06 = 2,686.74 : x
  2. Step 2: Convert to fraction form
    3,295.86/4,947.06 = 2,686.74/x
  3. Step 3: Cross multiply
    3,295.86x = 4,947.06 × 2,686.74
  4. Step 4: Simplify right side
    3,295.86x = 13,291,463.98
  5. Step 5: Solve for x
    x = 13,291,463.98/3,295.86
  6. Step 6: Final answer
    x = 4,032.78

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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.