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Finding the Fourth Proportional to 9,186.64, 13,772.17 and 3,643.90

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Solution

The fourth proportional to 9,186.64, 13,772.17 and 3,643.90 is: 5,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.64 : 13,772.17 = 3,643.90 : x
  2. Step 2: Convert to fraction form
    9,186.64/13,772.17 = 3,643.90/x
  3. Step 3: Cross multiply
    9,186.64x = 13,772.17 × 3,643.90
  4. Step 4: Simplify right side
    9,186.64x = 50,184,410.26
  5. Step 5: Solve for x
    x = 50,184,410.26/9,186.64
  6. Step 6: Final answer
    x = 5,462.76

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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.