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Finding the Fourth Proportional to 13,184.64, 19,763.19 and 7,919.64

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Solution

The fourth proportional to 13,184.64, 19,763.19 and 7,919.64 is: 11,871.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.64 : 19,763.19 = 7,919.64 : x
  2. Step 2: Convert to fraction form
    13,184.64/19,763.19 = 7,919.64/x
  3. Step 3: Cross multiply
    13,184.64x = 19,763.19 × 7,919.64
  4. Step 4: Simplify right side
    13,184.64x = 156,517,350.05
  5. Step 5: Solve for x
    x = 156,517,350.05/13,184.64
  6. Step 6: Final answer
    x = 11,871.19

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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.