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Finding the Fourth Proportional to 5,657.40, 8,486.07 and 3,984.65

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Solution

The fourth proportional to 5,657.40, 8,486.07 and 3,984.65 is: 5,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.40 : 8,486.07 = 3,984.65 : x
  2. Step 2: Convert to fraction form
    5,657.40/8,486.07 = 3,984.65/x
  3. Step 3: Cross multiply
    5,657.40x = 8,486.07 × 3,984.65
  4. Step 4: Simplify right side
    5,657.40x = 33,813,976.40
  5. Step 5: Solve for x
    x = 33,813,976.40/5,657.40
  6. Step 6: Final answer
    x = 5,976.95

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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.