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Finding the Fourth Proportional to 19,832.84, 27,387.84 and 12,771.68

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Solution

The fourth proportional to 19,832.84, 27,387.84 and 12,771.68 is: 17,636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,832.84 : 27,387.84 = 12,771.68 : x
  2. Step 2: Convert to fraction form
    19,832.84/27,387.84 = 12,771.68/x
  3. Step 3: Cross multiply
    19,832.84x = 27,387.84 × 12,771.68
  4. Step 4: Simplify right side
    19,832.84x = 349,788,728.37
  5. Step 5: Solve for x
    x = 349,788,728.37/19,832.84
  6. Step 6: Final answer
    x = 17,636.85

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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.