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Finding the Fourth Proportional to 10,089.83, 15,134.78 and 3,069.90

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Solution

The fourth proportional to 10,089.83, 15,134.78 and 3,069.90 is: 4,604.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.83 : 15,134.78 = 3,069.90 : x
  2. Step 2: Convert to fraction form
    10,089.83/15,134.78 = 3,069.90/x
  3. Step 3: Cross multiply
    10,089.83x = 15,134.78 × 3,069.90
  4. Step 4: Simplify right side
    10,089.83x = 46,462,268.80
  5. Step 5: Solve for x
    x = 46,462,268.80/10,089.83
  6. Step 6: Final answer
    x = 4,604.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.