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Finding the Fourth Proportional to 3,975.48, 5,961.06 and 1,665

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Solution

The fourth proportional to 3,975.48, 5,961.06 and 1,665 is: 2,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.48 : 5,961.06 = 1,665 : x
  2. Step 2: Convert to fraction form
    3,975.48/5,961.06 = 1,665/x
  3. Step 3: Cross multiply
    3,975.48x = 5,961.06 × 1,665
  4. Step 4: Simplify right side
    3,975.48x = 9,925,164.90
  5. Step 5: Solve for x
    x = 9,925,164.90/3,975.48
  6. Step 6: Final answer
    x = 2,496.60

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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.