Home / 5,046.16-7,564.92-1,966

Finding the Fourth Proportional to 5,046.16, 7,564.92 and 1,966

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Solution

The fourth proportional to 5,046.16, 7,564.92 and 1,966 is: 2,947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.16 : 7,564.92 = 1,966 : x
  2. Step 2: Convert to fraction form
    5,046.16/7,564.92 = 1,966/x
  3. Step 3: Cross multiply
    5,046.16x = 7,564.92 × 1,966
  4. Step 4: Simplify right side
    5,046.16x = 14,872,632.72
  5. Step 5: Solve for x
    x = 14,872,632.72/5,046.16
  6. Step 6: Final answer
    x = 2,947.32

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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.