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Finding the Fourth Proportional to 20,169, 27,825.62 and 12,508.70

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Solution

The fourth proportional to 20,169, 27,825.62 and 12,508.70 is: 17,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,169 : 27,825.62 = 12,508.70 : x
  2. Step 2: Convert to fraction form
    20,169/27,825.62 = 12,508.70/x
  3. Step 3: Cross multiply
    20,169x = 27,825.62 × 12,508.70
  4. Step 4: Simplify right side
    20,169x = 348,062,131.22
  5. Step 5: Solve for x
    x = 348,062,131.22/20,169
  6. Step 6: Final answer
    x = 17,257.28

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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.