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Finding the Fourth Proportional to 1,602.26, 2,211.10 and 938.98

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Solution

The fourth proportional to 1,602.26, 2,211.10 and 938.98 is: 1,295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.26 : 2,211.10 = 938.98 : x
  2. Step 2: Convert to fraction form
    1,602.26/2,211.10 = 938.98/x
  3. Step 3: Cross multiply
    1,602.26x = 2,211.10 × 938.98
  4. Step 4: Simplify right side
    1,602.26x = 2,076,178.68
  5. Step 5: Solve for x
    x = 2,076,178.68/1,602.26
  6. Step 6: Final answer
    x = 1,295.78

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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.