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Finding the Fourth Proportional to 1,896.74, 2,856.53 and 1,680.09

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Solution

The fourth proportional to 1,896.74, 2,856.53 and 1,680.09 is: 2,530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.74 : 2,856.53 = 1,680.09 : x
  2. Step 2: Convert to fraction form
    1,896.74/2,856.53 = 1,680.09/x
  3. Step 3: Cross multiply
    1,896.74x = 2,856.53 × 1,680.09
  4. Step 4: Simplify right side
    1,896.74x = 4,799,219.09
  5. Step 5: Solve for x
    x = 4,799,219.09/1,896.74
  6. Step 6: Final answer
    x = 2,530.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.