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Finding the Fourth Proportional to 3,678.77, 5,517.37 and 1,213.00

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Solution

The fourth proportional to 3,678.77, 5,517.37 and 1,213.00 is: 1,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.77 : 5,517.37 = 1,213.00 : x
  2. Step 2: Convert to fraction form
    3,678.77/5,517.37 = 1,213.00/x
  3. Step 3: Cross multiply
    3,678.77x = 5,517.37 × 1,213.00
  4. Step 4: Simplify right side
    3,678.77x = 6,692,591.98
  5. Step 5: Solve for x
    x = 6,692,591.98/3,678.77
  6. Step 6: Final answer
    x = 1,819.25

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1.5x scale

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.