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Finding the Fourth Proportional to 1,602.35, 2,206.80 and 1,381.22

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Solution

The fourth proportional to 1,602.35, 2,206.80 and 1,381.22 is: 1,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.35 : 2,206.80 = 1,381.22 : x
  2. Step 2: Convert to fraction form
    1,602.35/2,206.80 = 1,381.22/x
  3. Step 3: Cross multiply
    1,602.35x = 2,206.80 × 1,381.22
  4. Step 4: Simplify right side
    1,602.35x = 3,048,076.30
  5. Step 5: Solve for x
    x = 3,048,076.30/1,602.35
  6. Step 6: Final answer
    x = 1,902.25

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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.