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Finding the Fourth Proportional to 7,859.04, 11,787.84 and 2,664.32

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Solution

The fourth proportional to 7,859.04, 11,787.84 and 2,664.32 is: 3,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.04 : 11,787.84 = 2,664.32 : x
  2. Step 2: Convert to fraction form
    7,859.04/11,787.84 = 2,664.32/x
  3. Step 3: Cross multiply
    7,859.04x = 11,787.84 × 2,664.32
  4. Step 4: Simplify right side
    7,859.04x = 31,406,577.87
  5. Step 5: Solve for x
    x = 31,406,577.87/7,859.04
  6. Step 6: Final answer
    x = 3,996.24

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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.