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Finding the Fourth Proportional to 19,447.75, 29,175.95 and 7,135.75

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Solution

The fourth proportional to 19,447.75, 29,175.95 and 7,135.75 is: 10,705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,447.75 : 29,175.95 = 7,135.75 : x
  2. Step 2: Convert to fraction form
    19,447.75/29,175.95 = 7,135.75/x
  3. Step 3: Cross multiply
    19,447.75x = 29,175.95 × 7,135.75
  4. Step 4: Simplify right side
    19,447.75x = 208,192,285.21
  5. Step 5: Solve for x
    x = 208,192,285.21/19,447.75
  6. Step 6: Final answer
    x = 10,705.21

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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.