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Finding the Fourth Proportional to 3,274.78, 4,909.03 and 2,101.50

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Solution

The fourth proportional to 3,274.78, 4,909.03 and 2,101.50 is: 3,150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.78 : 4,909.03 = 2,101.50 : x
  2. Step 2: Convert to fraction form
    3,274.78/4,909.03 = 2,101.50/x
  3. Step 3: Cross multiply
    3,274.78x = 4,909.03 × 2,101.50
  4. Step 4: Simplify right side
    3,274.78x = 10,316,326.55
  5. Step 5: Solve for x
    x = 10,316,326.55/3,274.78
  6. Step 6: Final answer
    x = 3,150.23

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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.