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Finding the Fourth Proportional to 2,003.66, 2,763.66 and 1,838.42

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Solution

The fourth proportional to 2,003.66, 2,763.66 and 1,838.42 is: 2,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.66 : 2,763.66 = 1,838.42 : x
  2. Step 2: Convert to fraction form
    2,003.66/2,763.66 = 1,838.42/x
  3. Step 3: Cross multiply
    2,003.66x = 2,763.66 × 1,838.42
  4. Step 4: Simplify right side
    2,003.66x = 5,080,767.82
  5. Step 5: Solve for x
    x = 5,080,767.82/2,003.66
  6. Step 6: Final answer
    x = 2,535.74

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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.