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Finding the Fourth Proportional to 5,477.60, 8,213.10 and 2,098.88

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Solution

The fourth proportional to 5,477.60, 8,213.10 and 2,098.88 is: 3,147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.60 : 8,213.10 = 2,098.88 : x
  2. Step 2: Convert to fraction form
    5,477.60/8,213.10 = 2,098.88/x
  3. Step 3: Cross multiply
    5,477.60x = 8,213.10 × 2,098.88
  4. Step 4: Simplify right side
    5,477.60x = 17,238,311.33
  5. Step 5: Solve for x
    x = 17,238,311.33/5,477.60
  6. Step 6: Final answer
    x = 3,147.06

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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.