Home / 5,233.24-7,842.70-1,943.16

Finding the Fourth Proportional to 5,233.24, 7,842.70 and 1,943.16

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Solution

The fourth proportional to 5,233.24, 7,842.70 and 1,943.16 is: 2,912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.24 : 7,842.70 = 1,943.16 : x
  2. Step 2: Convert to fraction form
    5,233.24/7,842.70 = 1,943.16/x
  3. Step 3: Cross multiply
    5,233.24x = 7,842.70 × 1,943.16
  4. Step 4: Simplify right side
    5,233.24x = 15,239,620.93
  5. Step 5: Solve for x
    x = 15,239,620.93/5,233.24
  6. Step 6: Final answer
    x = 2,912.08

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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.