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Finding the Fourth Proportional to 19,857.70, 27,380.47 and 14,813.16

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Solution

The fourth proportional to 19,857.70, 27,380.47 and 14,813.16 is: 20,424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.70 : 27,380.47 = 14,813.16 : x
  2. Step 2: Convert to fraction form
    19,857.70/27,380.47 = 14,813.16/x
  3. Step 3: Cross multiply
    19,857.70x = 27,380.47 × 14,813.16
  4. Step 4: Simplify right side
    19,857.70x = 405,591,282.99
  5. Step 5: Solve for x
    x = 405,591,282.99/19,857.70
  6. Step 6: Final answer
    x = 20,424.89

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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.