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Finding the Fourth Proportional to 34,072.78, 47,020.07 and 18,965.20

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Solution

The fourth proportional to 34,072.78, 47,020.07 and 18,965.20 is: 26,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,072.78 : 47,020.07 = 18,965.20 : x
  2. Step 2: Convert to fraction form
    34,072.78/47,020.07 = 18,965.20/x
  3. Step 3: Cross multiply
    34,072.78x = 47,020.07 × 18,965.20
  4. Step 4: Simplify right side
    34,072.78x = 891,745,031.56
  5. Step 5: Solve for x
    x = 891,745,031.56/34,072.78
  6. Step 6: Final answer
    x = 26,171.77

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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.