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Finding the Fourth Proportional to 5,606.46, 8,409.69 and 1,909.08

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Solution

The fourth proportional to 5,606.46, 8,409.69 and 1,909.08 is: 2,863.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.46 : 8,409.69 = 1,909.08 : x
  2. Step 2: Convert to fraction form
    5,606.46/8,409.69 = 1,909.08/x
  3. Step 3: Cross multiply
    5,606.46x = 8,409.69 × 1,909.08
  4. Step 4: Simplify right side
    5,606.46x = 16,054,770.99
  5. Step 5: Solve for x
    x = 16,054,770.99/5,606.46
  6. Step 6: Final answer
    x = 2,863.62

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Similar ratio
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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.