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Finding the Fourth Proportional to 2,120.78, 3,181.63 and 889.24

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Solution

The fourth proportional to 2,120.78, 3,181.63 and 889.24 is: 1,334.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.78 : 3,181.63 = 889.24 : x
  2. Step 2: Convert to fraction form
    2,120.78/3,181.63 = 889.24/x
  3. Step 3: Cross multiply
    2,120.78x = 3,181.63 × 889.24
  4. Step 4: Simplify right side
    2,120.78x = 2,829,216.75
  5. Step 5: Solve for x
    x = 2,829,216.75/2,120.78
  6. Step 6: Final answer
    x = 1,334.05

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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.