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Finding the Fourth Proportional to 6,915, 10,372.74 and 2,297.88

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Solution

The fourth proportional to 6,915, 10,372.74 and 2,297.88 is: 3,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915 : 10,372.74 = 2,297.88 : x
  2. Step 2: Convert to fraction form
    6,915/10,372.74 = 2,297.88/x
  3. Step 3: Cross multiply
    6,915x = 10,372.74 × 2,297.88
  4. Step 4: Simplify right side
    6,915x = 23,835,311.79
  5. Step 5: Solve for x
    x = 23,835,311.79/6,915
  6. Step 6: Final answer
    x = 3,446.90

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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.