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Finding the Fourth Proportional to 6,125.70, 9,189.90 and 1,965.90

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Solution

The fourth proportional to 6,125.70, 9,189.90 and 1,965.90 is: 2,949.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.70 : 9,189.90 = 1,965.90 : x
  2. Step 2: Convert to fraction form
    6,125.70/9,189.90 = 1,965.90/x
  3. Step 3: Cross multiply
    6,125.70x = 9,189.90 × 1,965.90
  4. Step 4: Simplify right side
    6,125.70x = 18,066,424.41
  5. Step 5: Solve for x
    x = 18,066,424.41/6,125.70
  6. Step 6: Final answer
    x = 2,949.28

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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.