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Finding the Fourth Proportional to 19,902.57, 29,853.89 and 7,422.41

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Solution

The fourth proportional to 19,902.57, 29,853.89 and 7,422.41 is: 11,133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.57 : 29,853.89 = 7,422.41 : x
  2. Step 2: Convert to fraction form
    19,902.57/29,853.89 = 7,422.41/x
  3. Step 3: Cross multiply
    19,902.57x = 29,853.89 × 7,422.41
  4. Step 4: Simplify right side
    19,902.57x = 221,587,625.29
  5. Step 5: Solve for x
    x = 221,587,625.29/19,902.57
  6. Step 6: Final answer
    x = 11,133.62

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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.