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Finding the Fourth Proportional to 3,650.90, 5,114.50 and 3,650.90

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Solution

The fourth proportional to 3,650.90, 5,114.50 and 3,650.90 is: 5,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.90 : 5,114.50 = 3,650.90 : x
  2. Step 2: Convert to fraction form
    3,650.90/5,114.50 = 3,650.90/x
  3. Step 3: Cross multiply
    3,650.90x = 5,114.50 × 3,650.90
  4. Step 4: Simplify right side
    3,650.90x = 18,672,528.05
  5. Step 5: Solve for x
    x = 18,672,528.05/3,650.90
  6. Step 6: Final answer
    x = 5,114.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.