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Finding the Fourth Proportional to 6,188.79, 9,284.03 and 1,806.21

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Solution

The fourth proportional to 6,188.79, 9,284.03 and 1,806.21 is: 2,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.79 : 9,284.03 = 1,806.21 : x
  2. Step 2: Convert to fraction form
    6,188.79/9,284.03 = 1,806.21/x
  3. Step 3: Cross multiply
    6,188.79x = 9,284.03 × 1,806.21
  4. Step 4: Simplify right side
    6,188.79x = 16,768,907.83
  5. Step 5: Solve for x
    x = 16,768,907.83/6,188.79
  6. Step 6: Final answer
    x = 2,709.56

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Double scale
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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.