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Finding the Fourth Proportional to 3,305.48, 4,561.26 and 1,978.88

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Solution

The fourth proportional to 3,305.48, 4,561.26 and 1,978.88 is: 2,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.48 : 4,561.26 = 1,978.88 : x
  2. Step 2: Convert to fraction form
    3,305.48/4,561.26 = 1,978.88/x
  3. Step 3: Cross multiply
    3,305.48x = 4,561.26 × 1,978.88
  4. Step 4: Simplify right side
    3,305.48x = 9,026,186.19
  5. Step 5: Solve for x
    x = 9,026,186.19/3,305.48
  6. Step 6: Final answer
    x = 2,730.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.