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Finding the Fourth Proportional to 5,274.50, 7,913.10 and 3,811.10

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Solution

The fourth proportional to 5,274.50, 7,913.10 and 3,811.10 is: 5,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.50 : 7,913.10 = 3,811.10 : x
  2. Step 2: Convert to fraction form
    5,274.50/7,913.10 = 3,811.10/x
  3. Step 3: Cross multiply
    5,274.50x = 7,913.10 × 3,811.10
  4. Step 4: Simplify right side
    5,274.50x = 30,157,615.41
  5. Step 5: Solve for x
    x = 30,157,615.41/5,274.50
  6. Step 6: Final answer
    x = 5,717.63

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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.