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Finding the Fourth Proportional to 3,679.77, 5,518.87 and 1,214

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Solution

The fourth proportional to 3,679.77, 5,518.87 and 1,214 is: 1,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.77 : 5,518.87 = 1,214 : x
  2. Step 2: Convert to fraction form
    3,679.77/5,518.87 = 1,214/x
  3. Step 3: Cross multiply
    3,679.77x = 5,518.87 × 1,214
  4. Step 4: Simplify right side
    3,679.77x = 6,699,908.18
  5. Step 5: Solve for x
    x = 6,699,908.18/3,679.77
  6. Step 6: Final answer
    x = 1,820.74

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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.