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Finding the Fourth Proportional to 1,861.54, 2,568.77 and 1,022.22

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Solution

The fourth proportional to 1,861.54, 2,568.77 and 1,022.22 is: 1,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.54 : 2,568.77 = 1,022.22 : x
  2. Step 2: Convert to fraction form
    1,861.54/2,568.77 = 1,022.22/x
  3. Step 3: Cross multiply
    1,861.54x = 2,568.77 × 1,022.22
  4. Step 4: Simplify right side
    1,861.54x = 2,625,848.07
  5. Step 5: Solve for x
    x = 2,625,848.07/1,861.54
  6. Step 6: Final answer
    x = 1,410.58

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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.