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Finding the Fourth Proportional to 2,486.08, 3,729.92 and 1,622.08

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Solution

The fourth proportional to 2,486.08, 3,729.92 and 1,622.08 is: 2,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.08 : 3,729.92 = 1,622.08 : x
  2. Step 2: Convert to fraction form
    2,486.08/3,729.92 = 1,622.08/x
  3. Step 3: Cross multiply
    2,486.08x = 3,729.92 × 1,622.08
  4. Step 4: Simplify right side
    2,486.08x = 6,050,228.63
  5. Step 5: Solve for x
    x = 6,050,228.63/2,486.08
  6. Step 6: Final answer
    x = 2,433.64

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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.