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Finding the Fourth Proportional to 3,967.40, 5,945.76 and 1,499.30

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Solution

The fourth proportional to 3,967.40, 5,945.76 and 1,499.30 is: 2,246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.40 : 5,945.76 = 1,499.30 : x
  2. Step 2: Convert to fraction form
    3,967.40/5,945.76 = 1,499.30/x
  3. Step 3: Cross multiply
    3,967.40x = 5,945.76 × 1,499.30
  4. Step 4: Simplify right side
    3,967.40x = 8,914,477.97
  5. Step 5: Solve for x
    x = 8,914,477.97/3,967.40
  6. Step 6: Final answer
    x = 2,246.93

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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.