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Finding the Fourth Proportional to 2,208.59, 3,047.85 and 1,213.86

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Solution

The fourth proportional to 2,208.59, 3,047.85 and 1,213.86 is: 1,675.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.59 : 3,047.85 = 1,213.86 : x
  2. Step 2: Convert to fraction form
    2,208.59/3,047.85 = 1,213.86/x
  3. Step 3: Cross multiply
    2,208.59x = 3,047.85 × 1,213.86
  4. Step 4: Simplify right side
    2,208.59x = 3,699,663.20
  5. Step 5: Solve for x
    x = 3,699,663.20/2,208.59
  6. Step 6: Final answer
    x = 1,675.12

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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.