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Finding the Fourth Proportional to 2,795.64, 3,857.64 and 1,661.16

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Solution

The fourth proportional to 2,795.64, 3,857.64 and 1,661.16 is: 2,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.64 : 3,857.64 = 1,661.16 : x
  2. Step 2: Convert to fraction form
    2,795.64/3,857.64 = 1,661.16/x
  3. Step 3: Cross multiply
    2,795.64x = 3,857.64 × 1,661.16
  4. Step 4: Simplify right side
    2,795.64x = 6,408,157.26
  5. Step 5: Solve for x
    x = 6,408,157.26/2,795.64
  6. Step 6: Final answer
    x = 2,292.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.