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Finding the Fourth Proportional to 7,860.53, 11,787.03 and 3,697.03

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Solution

The fourth proportional to 7,860.53, 11,787.03 and 3,697.03 is: 5,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.53 : 11,787.03 = 3,697.03 : x
  2. Step 2: Convert to fraction form
    7,860.53/11,787.03 = 3,697.03/x
  3. Step 3: Cross multiply
    7,860.53x = 11,787.03 × 3,697.03
  4. Step 4: Simplify right side
    7,860.53x = 43,576,974.05
  5. Step 5: Solve for x
    x = 43,576,974.05/7,860.53
  6. Step 6: Final answer
    x = 5,543.77

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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.