Home / 1,647.84-2,469.46-1,159.92

Finding the Fourth Proportional to 1,647.84, 2,469.46 and 1,159.92

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Solution

The fourth proportional to 1,647.84, 2,469.46 and 1,159.92 is: 1,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.84 : 2,469.46 = 1,159.92 : x
  2. Step 2: Convert to fraction form
    1,647.84/2,469.46 = 1,159.92/x
  3. Step 3: Cross multiply
    1,647.84x = 2,469.46 × 1,159.92
  4. Step 4: Simplify right side
    1,647.84x = 2,864,376.04
  5. Step 5: Solve for x
    x = 2,864,376.04/1,647.84
  6. Step 6: Final answer
    x = 1,738.26

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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.