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Finding the Fourth Proportional to 2,169.64, 2,992.98 and 1,382.32

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Solution

The fourth proportional to 2,169.64, 2,992.98 and 1,382.32 is: 1,906.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.64 : 2,992.98 = 1,382.32 : x
  2. Step 2: Convert to fraction form
    2,169.64/2,992.98 = 1,382.32/x
  3. Step 3: Cross multiply
    2,169.64x = 2,992.98 × 1,382.32
  4. Step 4: Simplify right side
    2,169.64x = 4,137,256.11
  5. Step 5: Solve for x
    x = 4,137,256.11/2,169.64
  6. Step 6: Final answer
    x = 1,906.89

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1.5x scale

Why These Related Problems?

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