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Finding the Fourth Proportional to 19,703.87, 29,570 and 7,850.78

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Solution

The fourth proportional to 19,703.87, 29,570 and 7,850.78 is: 11,781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,703.87 : 29,570 = 7,850.78 : x
  2. Step 2: Convert to fraction form
    19,703.87/29,570 = 7,850.78/x
  3. Step 3: Cross multiply
    19,703.87x = 29,570 × 7,850.78
  4. Step 4: Simplify right side
    19,703.87x = 232,147,564.60
  5. Step 5: Solve for x
    x = 232,147,564.60/19,703.87
  6. Step 6: Final answer
    x = 11,781.83

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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.