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Finding the Fourth Proportional to 6,861.82, 9,469.32 and 3,718

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Solution

The fourth proportional to 6,861.82, 9,469.32 and 3,718 is: 5,130.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.82 : 9,469.32 = 3,718 : x
  2. Step 2: Convert to fraction form
    6,861.82/9,469.32 = 3,718/x
  3. Step 3: Cross multiply
    6,861.82x = 9,469.32 × 3,718
  4. Step 4: Simplify right side
    6,861.82x = 35,206,931.76
  5. Step 5: Solve for x
    x = 35,206,931.76/6,861.82
  6. Step 6: Final answer
    x = 5,130.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.