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Finding the Fourth Proportional to 3,608.16, 5,411.16 and 1,299.84

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Solution

The fourth proportional to 3,608.16, 5,411.16 and 1,299.84 is: 1,949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.16 : 5,411.16 = 1,299.84 : x
  2. Step 2: Convert to fraction form
    3,608.16/5,411.16 = 1,299.84/x
  3. Step 3: Cross multiply
    3,608.16x = 5,411.16 × 1,299.84
  4. Step 4: Simplify right side
    3,608.16x = 7,033,642.21
  5. Step 5: Solve for x
    x = 7,033,642.21/3,608.16
  6. Step 6: Final answer
    x = 1,949.37

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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.