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Finding the Fourth Proportional to 3,927.64, 5,892.28 and 1,330.80

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Solution

The fourth proportional to 3,927.64, 5,892.28 and 1,330.80 is: 1,996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.64 : 5,892.28 = 1,330.80 : x
  2. Step 2: Convert to fraction form
    3,927.64/5,892.28 = 1,330.80/x
  3. Step 3: Cross multiply
    3,927.64x = 5,892.28 × 1,330.80
  4. Step 4: Simplify right side
    3,927.64x = 7,841,446.22
  5. Step 5: Solve for x
    x = 7,841,446.22/3,927.64
  6. Step 6: Final answer
    x = 1,996.48

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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.