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Finding the Fourth Proportional to 7,766.87, 11,648.64 and 2,218.74

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Solution

The fourth proportional to 7,766.87, 11,648.64 and 2,218.74 is: 3,327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.87 : 11,648.64 = 2,218.74 : x
  2. Step 2: Convert to fraction form
    7,766.87/11,648.64 = 2,218.74/x
  3. Step 3: Cross multiply
    7,766.87x = 11,648.64 × 2,218.74
  4. Step 4: Simplify right side
    7,766.87x = 25,845,268.15
  5. Step 5: Solve for x
    x = 25,845,268.15/7,766.87
  6. Step 6: Final answer
    x = 3,327.63

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1.5x scale

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.