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Finding the Fourth Proportional to 10,025.12, 15,039.58 and 3,098

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Solution

The fourth proportional to 10,025.12, 15,039.58 and 3,098 is: 4,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.12 : 15,039.58 = 3,098 : x
  2. Step 2: Convert to fraction form
    10,025.12/15,039.58 = 3,098/x
  3. Step 3: Cross multiply
    10,025.12x = 15,039.58 × 3,098
  4. Step 4: Simplify right side
    10,025.12x = 46,592,618.84
  5. Step 5: Solve for x
    x = 46,592,618.84/10,025.12
  6. Step 6: Final answer
    x = 4,647.59

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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.