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Finding the Fourth Proportional to 19,771.44, 29,658 and 5,920.56

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Solution

The fourth proportional to 19,771.44, 29,658 and 5,920.56 is: 8,881.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771.44 : 29,658 = 5,920.56 : x
  2. Step 2: Convert to fraction form
    19,771.44/29,658 = 5,920.56/x
  3. Step 3: Cross multiply
    19,771.44x = 29,658 × 5,920.56
  4. Step 4: Simplify right side
    19,771.44x = 175,591,968.48
  5. Step 5: Solve for x
    x = 175,591,968.48/19,771.44
  6. Step 6: Final answer
    x = 8,881.09

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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.