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Finding the Fourth Proportional to 1,370, 1,892.22 and 927.13

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Solution

The fourth proportional to 1,370, 1,892.22 and 927.13 is: 1,280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370 : 1,892.22 = 927.13 : x
  2. Step 2: Convert to fraction form
    1,370/1,892.22 = 927.13/x
  3. Step 3: Cross multiply
    1,370x = 1,892.22 × 927.13
  4. Step 4: Simplify right side
    1,370x = 1,754,338.66
  5. Step 5: Solve for x
    x = 1,754,338.66/1,370
  6. Step 6: Final answer
    x = 1,280.54

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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.