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Finding the Fourth Proportional to 2,647.08, 3,952.80 and 2,161.08

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Solution

The fourth proportional to 2,647.08, 3,952.80 and 2,161.08 is: 3,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.08 : 3,952.80 = 2,161.08 : x
  2. Step 2: Convert to fraction form
    2,647.08/3,952.80 = 2,161.08/x
  3. Step 3: Cross multiply
    2,647.08x = 3,952.80 × 2,161.08
  4. Step 4: Simplify right side
    2,647.08x = 8,542,317.02
  5. Step 5: Solve for x
    x = 8,542,317.02/2,647.08
  6. Step 6: Final answer
    x = 3,227.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.