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Finding the Fourth Proportional to 1,892.40, 2,837.07 and 851.87

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Solution

The fourth proportional to 1,892.40, 2,837.07 and 851.87 is: 1,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.40 : 2,837.07 = 851.87 : x
  2. Step 2: Convert to fraction form
    1,892.40/2,837.07 = 851.87/x
  3. Step 3: Cross multiply
    1,892.40x = 2,837.07 × 851.87
  4. Step 4: Simplify right side
    1,892.40x = 2,416,814.82
  5. Step 5: Solve for x
    x = 2,416,814.82/1,892.40
  6. Step 6: Final answer
    x = 1,277.12

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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.