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Finding the Fourth Proportional to 3,713.64, 5,571.18 and 1,865.16

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Solution

The fourth proportional to 3,713.64, 5,571.18 and 1,865.16 is: 2,798.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.64 : 5,571.18 = 1,865.16 : x
  2. Step 2: Convert to fraction form
    3,713.64/5,571.18 = 1,865.16/x
  3. Step 3: Cross multiply
    3,713.64x = 5,571.18 × 1,865.16
  4. Step 4: Simplify right side
    3,713.64x = 10,391,142.09
  5. Step 5: Solve for x
    x = 10,391,142.09/3,713.64
  6. Step 6: Final answer
    x = 2,798.10

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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.