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Finding the Fourth Proportional to 2,742.57, 3,782.57 and 1,798.29

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Solution

The fourth proportional to 2,742.57, 3,782.57 and 1,798.29 is: 2,480.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.57 : 3,782.57 = 1,798.29 : x
  2. Step 2: Convert to fraction form
    2,742.57/3,782.57 = 1,798.29/x
  3. Step 3: Cross multiply
    2,742.57x = 3,782.57 × 1,798.29
  4. Step 4: Simplify right side
    2,742.57x = 6,802,148.81
  5. Step 5: Solve for x
    x = 6,802,148.81/2,742.57
  6. Step 6: Final answer
    x = 2,480.21

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1.5x scale

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.