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Finding the Fourth Proportional to 19,940.78, 27,509.01 and 12,767.30

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Solution

The fourth proportional to 19,940.78, 27,509.01 and 12,767.30 is: 17,612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,940.78 : 27,509.01 = 12,767.30 : x
  2. Step 2: Convert to fraction form
    19,940.78/27,509.01 = 12,767.30/x
  3. Step 3: Cross multiply
    19,940.78x = 27,509.01 × 12,767.30
  4. Step 4: Simplify right side
    19,940.78x = 351,215,783.37
  5. Step 5: Solve for x
    x = 351,215,783.37/19,940.78
  6. Step 6: Final answer
    x = 17,612.94

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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.