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Finding the Fourth Proportional to 7,860, 11,787.66 and 3,697.68

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Solution

The fourth proportional to 7,860, 11,787.66 and 3,697.68 is: 5,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860 : 11,787.66 = 3,697.68 : x
  2. Step 2: Convert to fraction form
    7,860/11,787.66 = 3,697.68/x
  3. Step 3: Cross multiply
    7,860x = 11,787.66 × 3,697.68
  4. Step 4: Simplify right side
    7,860x = 43,586,994.63
  5. Step 5: Solve for x
    x = 43,586,994.63/7,860
  6. Step 6: Final answer
    x = 5,545.42

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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.