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Finding the Fourth Proportional to 2,169.02, 2,992.52 and 1,224.68

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Solution

The fourth proportional to 2,169.02, 2,992.52 and 1,224.68 is: 1,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.02 : 2,992.52 = 1,224.68 : x
  2. Step 2: Convert to fraction form
    2,169.02/2,992.52 = 1,224.68/x
  3. Step 3: Cross multiply
    2,169.02x = 2,992.52 × 1,224.68
  4. Step 4: Simplify right side
    2,169.02x = 3,664,879.39
  5. Step 5: Solve for x
    x = 3,664,879.39/2,169.02
  6. Step 6: Final answer
    x = 1,689.65

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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.