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Finding the Fourth Proportional to 3,319.56, 4,978.19 and 1,471.96

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Solution

The fourth proportional to 3,319.56, 4,978.19 and 1,471.96 is: 2,207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.56 : 4,978.19 = 1,471.96 : x
  2. Step 2: Convert to fraction form
    3,319.56/4,978.19 = 1,471.96/x
  3. Step 3: Cross multiply
    3,319.56x = 4,978.19 × 1,471.96
  4. Step 4: Simplify right side
    3,319.56x = 7,327,707.51
  5. Step 5: Solve for x
    x = 7,327,707.51/3,319.56
  6. Step 6: Final answer
    x = 2,207.44

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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.