Home / 2,742.08-3,783.92-1,500

Finding the Fourth Proportional to 2,742.08, 3,783.92 and 1,500

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Solution

The fourth proportional to 2,742.08, 3,783.92 and 1,500 is: 2,069.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.08 : 3,783.92 = 1,500 : x
  2. Step 2: Convert to fraction form
    2,742.08/3,783.92 = 1,500/x
  3. Step 3: Cross multiply
    2,742.08x = 3,783.92 × 1,500
  4. Step 4: Simplify right side
    2,742.08x = 5,675,880
  5. Step 5: Solve for x
    x = 5,675,880/2,742.08
  6. Step 6: Final answer
    x = 2,069.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.