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Finding the Fourth Proportional to 14,451.64, 19,943.20 and 8,078.22

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Solution

The fourth proportional to 14,451.64, 19,943.20 and 8,078.22 is: 11,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.64 : 19,943.20 = 8,078.22 : x
  2. Step 2: Convert to fraction form
    14,451.64/19,943.20 = 8,078.22/x
  3. Step 3: Cross multiply
    14,451.64x = 19,943.20 × 8,078.22
  4. Step 4: Simplify right side
    14,451.64x = 161,105,557.10
  5. Step 5: Solve for x
    x = 161,105,557.10/14,451.64
  6. Step 6: Final answer
    x = 11,147.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.