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Finding the Fourth Proportional to 2,193.76, 3,290.95 and 712.49

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Solution

The fourth proportional to 2,193.76, 3,290.95 and 712.49 is: 1,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.76 : 3,290.95 = 712.49 : x
  2. Step 2: Convert to fraction form
    2,193.76/3,290.95 = 712.49/x
  3. Step 3: Cross multiply
    2,193.76x = 3,290.95 × 712.49
  4. Step 4: Simplify right side
    2,193.76x = 2,344,768.97
  5. Step 5: Solve for x
    x = 2,344,768.97/2,193.76
  6. Step 6: Final answer
    x = 1,068.84

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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.