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Finding the Fourth Proportional to 6,861, 9,468.18 and 3,717.19

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Solution

The fourth proportional to 6,861, 9,468.18 and 3,717.19 is: 5,129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861 : 9,468.18 = 3,717.19 : x
  2. Step 2: Convert to fraction form
    6,861/9,468.18 = 3,717.19/x
  3. Step 3: Cross multiply
    6,861x = 9,468.18 × 3,717.19
  4. Step 4: Simplify right side
    6,861x = 35,195,024.01
  5. Step 5: Solve for x
    x = 35,195,024.01/6,861
  6. Step 6: Final answer
    x = 5,129.72

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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.