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Finding the Fourth Proportional to 15,919, 23,878.50 and 8,994.04

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Solution

The fourth proportional to 15,919, 23,878.50 and 8,994.04 is: 13,491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,919 : 23,878.50 = 8,994.04 : x
  2. Step 2: Convert to fraction form
    15,919/23,878.50 = 8,994.04/x
  3. Step 3: Cross multiply
    15,919x = 23,878.50 × 8,994.04
  4. Step 4: Simplify right side
    15,919x = 214,764,184.14
  5. Step 5: Solve for x
    x = 214,764,184.14/15,919
  6. Step 6: Final answer
    x = 13,491.06

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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.