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Finding the Fourth Proportional to 1,800.42, 2,684.97 and 1,601.32

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Solution

The fourth proportional to 1,800.42, 2,684.97 and 1,601.32 is: 2,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.42 : 2,684.97 = 1,601.32 : x
  2. Step 2: Convert to fraction form
    1,800.42/2,684.97 = 1,601.32/x
  3. Step 3: Cross multiply
    1,800.42x = 2,684.97 × 1,601.32
  4. Step 4: Simplify right side
    1,800.42x = 4,299,496.16
  5. Step 5: Solve for x
    x = 4,299,496.16/1,800.42
  6. Step 6: Final answer
    x = 2,388.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.