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Finding the Fourth Proportional to 3,694, 5,533.90 and 2,909.85

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Solution

The fourth proportional to 3,694, 5,533.90 and 2,909.85 is: 4,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694 : 5,533.90 = 2,909.85 : x
  2. Step 2: Convert to fraction form
    3,694/5,533.90 = 2,909.85/x
  3. Step 3: Cross multiply
    3,694x = 5,533.90 × 2,909.85
  4. Step 4: Simplify right side
    3,694x = 16,102,818.92
  5. Step 5: Solve for x
    x = 16,102,818.92/3,694
  6. Step 6: Final answer
    x = 4,359.18

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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.