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Finding the Fourth Proportional to 7,310.26, 10,965.40 and 1,838.26

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Solution

The fourth proportional to 7,310.26, 10,965.40 and 1,838.26 is: 2,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.26 : 10,965.40 = 1,838.26 : x
  2. Step 2: Convert to fraction form
    7,310.26/10,965.40 = 1,838.26/x
  3. Step 3: Cross multiply
    7,310.26x = 10,965.40 × 1,838.26
  4. Step 4: Simplify right side
    7,310.26x = 20,157,256.20
  5. Step 5: Solve for x
    x = 20,157,256.20/7,310.26
  6. Step 6: Final answer
    x = 2,757.39

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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.