Home / 2,738.65-4,107.61-1,564.84

Finding the Fourth Proportional to 2,738.65, 4,107.61 and 1,564.84

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Solution

The fourth proportional to 2,738.65, 4,107.61 and 1,564.84 is: 2,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.65 : 4,107.61 = 1,564.84 : x
  2. Step 2: Convert to fraction form
    2,738.65/4,107.61 = 1,564.84/x
  3. Step 3: Cross multiply
    2,738.65x = 4,107.61 × 1,564.84
  4. Step 4: Simplify right side
    2,738.65x = 6,427,771.08
  5. Step 5: Solve for x
    x = 6,427,771.08/2,738.65
  6. Step 6: Final answer
    x = 2,347.06

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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.