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Finding the Fourth Proportional to 6,520, 9,777.92 and 2,136.44

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Solution

The fourth proportional to 6,520, 9,777.92 and 2,136.44 is: 3,203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520 : 9,777.92 = 2,136.44 : x
  2. Step 2: Convert to fraction form
    6,520/9,777.92 = 2,136.44/x
  3. Step 3: Cross multiply
    6,520x = 9,777.92 × 2,136.44
  4. Step 4: Simplify right side
    6,520x = 20,889,939.40
  5. Step 5: Solve for x
    x = 20,889,939.40/6,520
  6. Step 6: Final answer
    x = 3,203.98

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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.