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Finding the Fourth Proportional to 14,894, 20,553.78 and 8,270

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Solution

The fourth proportional to 14,894, 20,553.78 and 8,270 is: 11,412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894 : 20,553.78 = 8,270 : x
  2. Step 2: Convert to fraction form
    14,894/20,553.78 = 8,270/x
  3. Step 3: Cross multiply
    14,894x = 20,553.78 × 8,270
  4. Step 4: Simplify right side
    14,894x = 169,979,760.60
  5. Step 5: Solve for x
    x = 169,979,760.60/14,894
  6. Step 6: Final answer
    x = 11,412.63

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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.