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Finding the Fourth Proportional to 19,855.23, 29,782.84 and 7,374.97

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Solution

The fourth proportional to 19,855.23, 29,782.84 and 7,374.97 is: 11,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,855.23 : 29,782.84 = 7,374.97 : x
  2. Step 2: Convert to fraction form
    19,855.23/29,782.84 = 7,374.97/x
  3. Step 3: Cross multiply
    19,855.23x = 29,782.84 × 7,374.97
  4. Step 4: Simplify right side
    19,855.23x = 219,647,667.90
  5. Step 5: Solve for x
    x = 219,647,667.90/19,855.23
  6. Step 6: Final answer
    x = 11,062.46

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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.