Home / 7,787.68-11,675.86-3,106.28

Finding the Fourth Proportional to 7,787.68, 11,675.86 and 3,106.28

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Solution

The fourth proportional to 7,787.68, 11,675.86 and 3,106.28 is: 4,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.68 : 11,675.86 = 3,106.28 : x
  2. Step 2: Convert to fraction form
    7,787.68/11,675.86 = 3,106.28/x
  3. Step 3: Cross multiply
    7,787.68x = 11,675.86 × 3,106.28
  4. Step 4: Simplify right side
    7,787.68x = 36,268,511.82
  5. Step 5: Solve for x
    x = 36,268,511.82/7,787.68
  6. Step 6: Final answer
    x = 4,657.17

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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.