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Finding the Fourth Proportional to 19,898.26, 29,847.42 and 9,478.42

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Solution

The fourth proportional to 19,898.26, 29,847.42 and 9,478.42 is: 14,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,898.26 : 29,847.42 = 9,478.42 : x
  2. Step 2: Convert to fraction form
    19,898.26/29,847.42 = 9,478.42/x
  3. Step 3: Cross multiply
    19,898.26x = 29,847.42 × 9,478.42
  4. Step 4: Simplify right side
    19,898.26x = 282,906,382.68
  5. Step 5: Solve for x
    x = 282,906,382.68/19,898.26
  6. Step 6: Final answer
    x = 14,217.64

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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.