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Finding the Fourth Proportional to 3,518.70, 5,274.09 and 2,700.42

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Solution

The fourth proportional to 3,518.70, 5,274.09 and 2,700.42 is: 4,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.70 : 5,274.09 = 2,700.42 : x
  2. Step 2: Convert to fraction form
    3,518.70/5,274.09 = 2,700.42/x
  3. Step 3: Cross multiply
    3,518.70x = 5,274.09 × 2,700.42
  4. Step 4: Simplify right side
    3,518.70x = 14,242,258.12
  5. Step 5: Solve for x
    x = 14,242,258.12/3,518.70
  6. Step 6: Final answer
    x = 4,047.59

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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.