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Finding the Fourth Proportional to 19,771.70, 27,284.85 and 10,819.10

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Solution

The fourth proportional to 19,771.70, 27,284.85 and 10,819.10 is: 14,930.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771.70 : 27,284.85 = 10,819.10 : x
  2. Step 2: Convert to fraction form
    19,771.70/27,284.85 = 10,819.10/x
  3. Step 3: Cross multiply
    19,771.70x = 27,284.85 × 10,819.10
  4. Step 4: Simplify right side
    19,771.70x = 295,197,588.85
  5. Step 5: Solve for x
    x = 295,197,588.85/19,771.70
  6. Step 6: Final answer
    x = 14,930.31

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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.