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Finding the Fourth Proportional to 7,874.64, 11,803.32 and 3,762

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Solution

The fourth proportional to 7,874.64, 11,803.32 and 3,762 is: 5,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.64 : 11,803.32 = 3,762 : x
  2. Step 2: Convert to fraction form
    7,874.64/11,803.32 = 3,762/x
  3. Step 3: Cross multiply
    7,874.64x = 11,803.32 × 3,762
  4. Step 4: Simplify right side
    7,874.64x = 44,404,089.84
  5. Step 5: Solve for x
    x = 44,404,089.84/7,874.64
  6. Step 6: Final answer
    x = 5,638.87

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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.