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Finding the Fourth Proportional to 6,504, 9,701.20 and 5,451.81

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Solution

The fourth proportional to 6,504, 9,701.20 and 5,451.81 is: 8,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504 : 9,701.20 = 5,451.81 : x
  2. Step 2: Convert to fraction form
    6,504/9,701.20 = 5,451.81/x
  3. Step 3: Cross multiply
    6,504x = 9,701.20 × 5,451.81
  4. Step 4: Simplify right side
    6,504x = 52,889,099.17
  5. Step 5: Solve for x
    x = 52,889,099.17/6,504
  6. Step 6: Final answer
    x = 8,131.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.