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Finding the Fourth Proportional to 7,811.59, 11,718.60 and 2,616.25

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Solution

The fourth proportional to 7,811.59, 11,718.60 and 2,616.25 is: 3,924.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.59 : 11,718.60 = 2,616.25 : x
  2. Step 2: Convert to fraction form
    7,811.59/11,718.60 = 2,616.25/x
  3. Step 3: Cross multiply
    7,811.59x = 11,718.60 × 2,616.25
  4. Step 4: Simplify right side
    7,811.59x = 30,658,787.25
  5. Step 5: Solve for x
    x = 30,658,787.25/7,811.59
  6. Step 6: Final answer
    x = 3,924.78

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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.