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Finding the Fourth Proportional to 2,837.96, 4,257.66 and 890.18

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Solution

The fourth proportional to 2,837.96, 4,257.66 and 890.18 is: 1,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.96 : 4,257.66 = 890.18 : x
  2. Step 2: Convert to fraction form
    2,837.96/4,257.66 = 890.18/x
  3. Step 3: Cross multiply
    2,837.96x = 4,257.66 × 890.18
  4. Step 4: Simplify right side
    2,837.96x = 3,790,090.77
  5. Step 5: Solve for x
    x = 3,790,090.77/2,837.96
  6. Step 6: Final answer
    x = 1,335.50

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Half scale
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1.5x scale

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.