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Finding the Fourth Proportional to 1,892.40, 2,839.07 and 1,861.01

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Solution

The fourth proportional to 1,892.40, 2,839.07 and 1,861.01 is: 2,791.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.40 : 2,839.07 = 1,861.01 : x
  2. Step 2: Convert to fraction form
    1,892.40/2,839.07 = 1,861.01/x
  3. Step 3: Cross multiply
    1,892.40x = 2,839.07 × 1,861.01
  4. Step 4: Simplify right side
    1,892.40x = 5,283,538.76
  5. Step 5: Solve for x
    x = 5,283,538.76/1,892.40
  6. Step 6: Final answer
    x = 2,791.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.