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Finding the Fourth Proportional to 2,885.96, 3,982.74 and 1,627.07

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Solution

The fourth proportional to 2,885.96, 3,982.74 and 1,627.07 is: 2,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.96 : 3,982.74 = 1,627.07 : x
  2. Step 2: Convert to fraction form
    2,885.96/3,982.74 = 1,627.07/x
  3. Step 3: Cross multiply
    2,885.96x = 3,982.74 × 1,627.07
  4. Step 4: Simplify right side
    2,885.96x = 6,480,176.86
  5. Step 5: Solve for x
    x = 6,480,176.86/2,885.96
  6. Step 6: Final answer
    x = 2,245.42

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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.