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Finding the Fourth Proportional to 5,467, 8,200.56 and 1,957.20

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Solution

The fourth proportional to 5,467, 8,200.56 and 1,957.20 is: 2,935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467 : 8,200.56 = 1,957.20 : x
  2. Step 2: Convert to fraction form
    5,467/8,200.56 = 1,957.20/x
  3. Step 3: Cross multiply
    5,467x = 8,200.56 × 1,957.20
  4. Step 4: Simplify right side
    5,467x = 16,050,136.03
  5. Step 5: Solve for x
    x = 16,050,136.03/5,467
  6. Step 6: Final answer
    x = 2,935.82

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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.