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Finding the Fourth Proportional to 5,428.81, 8,144.16 and 1,965.25

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Solution

The fourth proportional to 5,428.81, 8,144.16 and 1,965.25 is: 2,948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.81 : 8,144.16 = 1,965.25 : x
  2. Step 2: Convert to fraction form
    5,428.81/8,144.16 = 1,965.25/x
  3. Step 3: Cross multiply
    5,428.81x = 8,144.16 × 1,965.25
  4. Step 4: Simplify right side
    5,428.81x = 16,005,310.44
  5. Step 5: Solve for x
    x = 16,005,310.44/5,428.81
  6. Step 6: Final answer
    x = 2,948.22

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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.