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Finding the Fourth Proportional to 3,274.53, 4,911.80 and 809.40

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Solution

The fourth proportional to 3,274.53, 4,911.80 and 809.40 is: 1,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.53 : 4,911.80 = 809.40 : x
  2. Step 2: Convert to fraction form
    3,274.53/4,911.80 = 809.40/x
  3. Step 3: Cross multiply
    3,274.53x = 4,911.80 × 809.40
  4. Step 4: Simplify right side
    3,274.53x = 3,975,610.92
  5. Step 5: Solve for x
    x = 3,975,610.92/3,274.53
  6. Step 6: Final answer
    x = 1,214.10

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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.