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Finding the Fourth Proportional to 14,361.76, 19,819.38 and 8,074

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Solution

The fourth proportional to 14,361.76, 19,819.38 and 8,074 is: 11,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,361.76 : 19,819.38 = 8,074 : x
  2. Step 2: Convert to fraction form
    14,361.76/19,819.38 = 8,074/x
  3. Step 3: Cross multiply
    14,361.76x = 19,819.38 × 8,074
  4. Step 4: Simplify right side
    14,361.76x = 160,021,674.12
  5. Step 5: Solve for x
    x = 160,021,674.12/14,361.76
  6. Step 6: Final answer
    x = 11,142.21

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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.