Home / 10,022.96-15,035.88-3,098

Finding the Fourth Proportional to 10,022.96, 15,035.88 and 3,098

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Solution

The fourth proportional to 10,022.96, 15,035.88 and 3,098 is: 4,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.96 : 15,035.88 = 3,098 : x
  2. Step 2: Convert to fraction form
    10,022.96/15,035.88 = 3,098/x
  3. Step 3: Cross multiply
    10,022.96x = 15,035.88 × 3,098
  4. Step 4: Simplify right side
    10,022.96x = 46,581,156.24
  5. Step 5: Solve for x
    x = 46,581,156.24/10,022.96
  6. Step 6: Final answer
    x = 4,647.45

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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.