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Finding the Fourth Proportional to 6,520.64, 9,722.86 and 6,404

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Solution

The fourth proportional to 6,520.64, 9,722.86 and 6,404 is: 9,548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.64 : 9,722.86 = 6,404 : x
  2. Step 2: Convert to fraction form
    6,520.64/9,722.86 = 6,404/x
  3. Step 3: Cross multiply
    6,520.64x = 9,722.86 × 6,404
  4. Step 4: Simplify right side
    6,520.64x = 62,265,195.44
  5. Step 5: Solve for x
    x = 62,265,195.44/6,520.64
  6. Step 6: Final answer
    x = 9,548.94

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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.