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Finding the Fourth Proportional to 2,892.93, 3,991.17 and 1,898.76

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Solution

The fourth proportional to 2,892.93, 3,991.17 and 1,898.76 is: 2,619.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.93 : 3,991.17 = 1,898.76 : x
  2. Step 2: Convert to fraction form
    2,892.93/3,991.17 = 1,898.76/x
  3. Step 3: Cross multiply
    2,892.93x = 3,991.17 × 1,898.76
  4. Step 4: Simplify right side
    2,892.93x = 7,578,273.95
  5. Step 5: Solve for x
    x = 7,578,273.95/2,892.93
  6. Step 6: Final answer
    x = 2,619.58

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1.5x scale

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.