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Finding the Fourth Proportional to 2,166.16, 3,249.24 and 1,978.24

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Solution

The fourth proportional to 2,166.16, 3,249.24 and 1,978.24 is: 2,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.16 : 3,249.24 = 1,978.24 : x
  2. Step 2: Convert to fraction form
    2,166.16/3,249.24 = 1,978.24/x
  3. Step 3: Cross multiply
    2,166.16x = 3,249.24 × 1,978.24
  4. Step 4: Simplify right side
    2,166.16x = 6,427,776.54
  5. Step 5: Solve for x
    x = 6,427,776.54/2,166.16
  6. Step 6: Final answer
    x = 2,967.36

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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.