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Finding the Fourth Proportional to 2,650.12, 3,656.32 and 1,766.08

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Solution

The fourth proportional to 2,650.12, 3,656.32 and 1,766.08 is: 2,436.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.12 : 3,656.32 = 1,766.08 : x
  2. Step 2: Convert to fraction form
    2,650.12/3,656.32 = 1,766.08/x
  3. Step 3: Cross multiply
    2,650.12x = 3,656.32 × 1,766.08
  4. Step 4: Simplify right side
    2,650.12x = 6,457,353.63
  5. Step 5: Solve for x
    x = 6,457,353.63/2,650.12
  6. Step 6: Final answer
    x = 2,436.63

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