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Finding the Fourth Proportional to 2,078.71, 3,118.03 and 1,202.53

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Solution

The fourth proportional to 2,078.71, 3,118.03 and 1,202.53 is: 1,803.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.71 : 3,118.03 = 1,202.53 : x
  2. Step 2: Convert to fraction form
    2,078.71/3,118.03 = 1,202.53/x
  3. Step 3: Cross multiply
    2,078.71x = 3,118.03 × 1,202.53
  4. Step 4: Simplify right side
    2,078.71x = 3,749,524.62
  5. Step 5: Solve for x
    x = 3,749,524.62/2,078.71
  6. Step 6: Final answer
    x = 1,803.77

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1.5x scale

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.