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Finding the Fourth Proportional to 6,601.78, 9,903 and 1,671.46

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Solution

The fourth proportional to 6,601.78, 9,903 and 1,671.46 is: 2,507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.78 : 9,903 = 1,671.46 : x
  2. Step 2: Convert to fraction form
    6,601.78/9,903 = 1,671.46/x
  3. Step 3: Cross multiply
    6,601.78x = 9,903 × 1,671.46
  4. Step 4: Simplify right side
    6,601.78x = 16,552,468.38
  5. Step 5: Solve for x
    x = 16,552,468.38/6,601.78
  6. Step 6: Final answer
    x = 2,507.27

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1.5x scale

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.