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Finding the Fourth Proportional to 20,137.15, 27,795.60 and 12,967.15

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Solution

The fourth proportional to 20,137.15, 27,795.60 and 12,967.15 is: 17,898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137.15 : 27,795.60 = 12,967.15 : x
  2. Step 2: Convert to fraction form
    20,137.15/27,795.60 = 12,967.15/x
  3. Step 3: Cross multiply
    20,137.15x = 27,795.60 × 12,967.15
  4. Step 4: Simplify right side
    20,137.15x = 360,429,714.54
  5. Step 5: Solve for x
    x = 360,429,714.54/20,137.15
  6. Step 6: Final answer
    x = 17,898.75

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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.