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Finding the Fourth Proportional to 2,647.66, 3,969.22 and 1,671.60

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Solution

The fourth proportional to 2,647.66, 3,969.22 and 1,671.60 is: 2,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.66 : 3,969.22 = 1,671.60 : x
  2. Step 2: Convert to fraction form
    2,647.66/3,969.22 = 1,671.60/x
  3. Step 3: Cross multiply
    2,647.66x = 3,969.22 × 1,671.60
  4. Step 4: Simplify right side
    2,647.66x = 6,634,948.15
  5. Step 5: Solve for x
    x = 6,634,948.15/2,647.66
  6. Step 6: Final answer
    x = 2,505.97

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1.5x scale

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.