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Finding the Fourth Proportional to 19,705.93, 29,510.83 and 10,353.78

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Solution

The fourth proportional to 19,705.93, 29,510.83 and 10,353.78 is: 15,505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.93 : 29,510.83 = 10,353.78 : x
  2. Step 2: Convert to fraction form
    19,705.93/29,510.83 = 10,353.78/x
  3. Step 3: Cross multiply
    19,705.93x = 29,510.83 × 10,353.78
  4. Step 4: Simplify right side
    19,705.93x = 305,548,641.44
  5. Step 5: Solve for x
    x = 305,548,641.44/19,705.93
  6. Step 6: Final answer
    x = 15,505.42

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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.