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Finding the Fourth Proportional to 12,771.78, 19,141.41 and 5,744.28

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Solution

The fourth proportional to 12,771.78, 19,141.41 and 5,744.28 is: 8,609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.78 : 19,141.41 = 5,744.28 : x
  2. Step 2: Convert to fraction form
    12,771.78/19,141.41 = 5,744.28/x
  3. Step 3: Cross multiply
    12,771.78x = 19,141.41 × 5,744.28
  4. Step 4: Simplify right side
    12,771.78x = 109,953,618.63
  5. Step 5: Solve for x
    x = 109,953,618.63/12,771.78
  6. Step 6: Final answer
    x = 8,609.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.