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Finding the Fourth Proportional to 19,705.87, 29,573 and 7,852.78

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Solution

The fourth proportional to 19,705.87, 29,573 and 7,852.78 is: 11,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.87 : 29,573 = 7,852.78 : x
  2. Step 2: Convert to fraction form
    19,705.87/29,573 = 7,852.78/x
  3. Step 3: Cross multiply
    19,705.87x = 29,573 × 7,852.78
  4. Step 4: Simplify right side
    19,705.87x = 232,230,262.94
  5. Step 5: Solve for x
    x = 232,230,262.94/19,705.87
  6. Step 6: Final answer
    x = 11,784.83

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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.