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Finding the Fourth Proportional to 4,405, 6,607.68 and 1,327

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Solution

The fourth proportional to 4,405, 6,607.68 and 1,327 is: 1,990.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,405 : 6,607.68 = 1,327 : x
  2. Step 2: Convert to fraction form
    4,405/6,607.68 = 1,327/x
  3. Step 3: Cross multiply
    4,405x = 6,607.68 × 1,327
  4. Step 4: Simplify right side
    4,405x = 8,768,391.36
  5. Step 5: Solve for x
    x = 8,768,391.36/4,405
  6. Step 6: Final answer
    x = 1,990.55

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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.