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Finding the Fourth Proportional to 3,218.82, 4,799.40 and 3,160.50

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Solution

The fourth proportional to 3,218.82, 4,799.40 and 3,160.50 is: 4,712.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.82 : 4,799.40 = 3,160.50 : x
  2. Step 2: Convert to fraction form
    3,218.82/4,799.40 = 3,160.50/x
  3. Step 3: Cross multiply
    3,218.82x = 4,799.40 × 3,160.50
  4. Step 4: Simplify right side
    3,218.82x = 15,168,503.70
  5. Step 5: Solve for x
    x = 15,168,503.70/3,218.82
  6. Step 6: Final answer
    x = 4,712.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.