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Finding the Fourth Proportional to 14,361.67, 19,819.29 and 8,074

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Solution

The fourth proportional to 14,361.67, 19,819.29 and 8,074 is: 11,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,361.67 : 19,819.29 = 8,074 : x
  2. Step 2: Convert to fraction form
    14,361.67/19,819.29 = 8,074/x
  3. Step 3: Cross multiply
    14,361.67x = 19,819.29 × 8,074
  4. Step 4: Simplify right side
    14,361.67x = 160,020,947.46
  5. Step 5: Solve for x
    x = 160,020,947.46/14,361.67
  6. Step 6: Final answer
    x = 11,142.22

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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.