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Finding the Fourth Proportional to 6,455.70, 9,684.90 and 2,073.60

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Solution

The fourth proportional to 6,455.70, 9,684.90 and 2,073.60 is: 3,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.70 : 9,684.90 = 2,073.60 : x
  2. Step 2: Convert to fraction form
    6,455.70/9,684.90 = 2,073.60/x
  3. Step 3: Cross multiply
    6,455.70x = 9,684.90 × 2,073.60
  4. Step 4: Simplify right side
    6,455.70x = 20,082,608.64
  5. Step 5: Solve for x
    x = 20,082,608.64/6,455.70
  6. Step 6: Final answer
    x = 3,110.83

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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.