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Finding the Fourth Proportional to 2,919.60, 4,381.22 and 1,188.22

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Solution

The fourth proportional to 2,919.60, 4,381.22 and 1,188.22 is: 1,783.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.60 : 4,381.22 = 1,188.22 : x
  2. Step 2: Convert to fraction form
    2,919.60/4,381.22 = 1,188.22/x
  3. Step 3: Cross multiply
    2,919.60x = 4,381.22 × 1,188.22
  4. Step 4: Simplify right side
    2,919.60x = 5,205,847.29
  5. Step 5: Solve for x
    x = 5,205,847.29/2,919.60
  6. Step 6: Final answer
    x = 1,783.07

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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.