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Finding the Fourth Proportional to 3,687.64, 5,530.92 and 1,222

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Solution

The fourth proportional to 3,687.64, 5,530.92 and 1,222 is: 1,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.64 : 5,530.92 = 1,222 : x
  2. Step 2: Convert to fraction form
    3,687.64/5,530.92 = 1,222/x
  3. Step 3: Cross multiply
    3,687.64x = 5,530.92 × 1,222
  4. Step 4: Simplify right side
    3,687.64x = 6,758,784.24
  5. Step 5: Solve for x
    x = 6,758,784.24/3,687.64
  6. Step 6: Final answer
    x = 1,832.82

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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.