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Finding the Fourth Proportional to 5,412.60, 8,118.90 and 1,949.16

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Solution

The fourth proportional to 5,412.60, 8,118.90 and 1,949.16 is: 2,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.60 : 8,118.90 = 1,949.16 : x
  2. Step 2: Convert to fraction form
    5,412.60/8,118.90 = 1,949.16/x
  3. Step 3: Cross multiply
    5,412.60x = 8,118.90 × 1,949.16
  4. Step 4: Simplify right side
    5,412.60x = 15,825,035.12
  5. Step 5: Solve for x
    x = 15,825,035.12/5,412.60
  6. Step 6: Final answer
    x = 2,923.74

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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.