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Finding the Fourth Proportional to 2,650.14, 3,972.38 and 893.48

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Solution

The fourth proportional to 2,650.14, 3,972.38 and 893.48 is: 1,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.14 : 3,972.38 = 893.48 : x
  2. Step 2: Convert to fraction form
    2,650.14/3,972.38 = 893.48/x
  3. Step 3: Cross multiply
    2,650.14x = 3,972.38 × 893.48
  4. Step 4: Simplify right side
    2,650.14x = 3,549,242.08
  5. Step 5: Solve for x
    x = 3,549,242.08/2,650.14
  6. Step 6: Final answer
    x = 1,339.27

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Similar ratio
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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.