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Finding the Fourth Proportional to 2,652.08, 3,960.25 and 2,166.08

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Solution

The fourth proportional to 2,652.08, 3,960.25 and 2,166.08 is: 3,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.08 : 3,960.25 = 2,166.08 : x
  2. Step 2: Convert to fraction form
    2,652.08/3,960.25 = 2,166.08/x
  3. Step 3: Cross multiply
    2,652.08x = 3,960.25 × 2,166.08
  4. Step 4: Simplify right side
    2,652.08x = 8,578,218.32
  5. Step 5: Solve for x
    x = 8,578,218.32/2,652.08
  6. Step 6: Final answer
    x = 3,234.52

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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.