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Finding the Fourth Proportional to 20,162.52, 27,830.52 and 12,208.32

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Solution

The fourth proportional to 20,162.52, 27,830.52 and 12,208.32 is: 16,851.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162.52 : 27,830.52 = 12,208.32 : x
  2. Step 2: Convert to fraction form
    20,162.52/27,830.52 = 12,208.32/x
  3. Step 3: Cross multiply
    20,162.52x = 27,830.52 × 12,208.32
  4. Step 4: Simplify right side
    20,162.52x = 339,763,893.93
  5. Step 5: Solve for x
    x = 339,763,893.93/20,162.52
  6. Step 6: Final answer
    x = 16,851.26

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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.