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Finding the Fourth Proportional to 6,441.70, 8,890.44 and 4,084.06

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Solution

The fourth proportional to 6,441.70, 8,890.44 and 4,084.06 is: 5,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.70 : 8,890.44 = 4,084.06 : x
  2. Step 2: Convert to fraction form
    6,441.70/8,890.44 = 4,084.06/x
  3. Step 3: Cross multiply
    6,441.70x = 8,890.44 × 4,084.06
  4. Step 4: Simplify right side
    6,441.70x = 36,309,090.39
  5. Step 5: Solve for x
    x = 36,309,090.39/6,441.70
  6. Step 6: Final answer
    x = 5,636.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.