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Finding the Fourth Proportional to 2,113.74, 3,170.39 and 653.94

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Solution

The fourth proportional to 2,113.74, 3,170.39 and 653.94 is: 980.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.74 : 3,170.39 = 653.94 : x
  2. Step 2: Convert to fraction form
    2,113.74/3,170.39 = 653.94/x
  3. Step 3: Cross multiply
    2,113.74x = 3,170.39 × 653.94
  4. Step 4: Simplify right side
    2,113.74x = 2,073,241.57
  5. Step 5: Solve for x
    x = 2,073,241.57/2,113.74
  6. Step 6: Final answer
    x = 980.84

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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.