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Finding the Fourth Proportional to 7,651.85, 11,477.90 and 2,387

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Solution

The fourth proportional to 7,651.85, 11,477.90 and 2,387 is: 3,580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.85 : 11,477.90 = 2,387 : x
  2. Step 2: Convert to fraction form
    7,651.85/11,477.90 = 2,387/x
  3. Step 3: Cross multiply
    7,651.85x = 11,477.90 × 2,387
  4. Step 4: Simplify right side
    7,651.85x = 27,397,747.30
  5. Step 5: Solve for x
    x = 27,397,747.30/7,651.85
  6. Step 6: Final answer
    x = 3,580.54

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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.