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Finding the Fourth Proportional to 1,602.98, 2,212.12 and 939.89

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Solution

The fourth proportional to 1,602.98, 2,212.12 and 939.89 is: 1,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.98 : 2,212.12 = 939.89 : x
  2. Step 2: Convert to fraction form
    1,602.98/2,212.12 = 939.89/x
  3. Step 3: Cross multiply
    1,602.98x = 2,212.12 × 939.89
  4. Step 4: Simplify right side
    1,602.98x = 2,079,149.47
  5. Step 5: Solve for x
    x = 2,079,149.47/1,602.98
  6. Step 6: Final answer
    x = 1,297.05

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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.