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Finding the Fourth Proportional to 19,205.91, 28,783.89 and 9,837.99

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Solution

The fourth proportional to 19,205.91, 28,783.89 and 9,837.99 is: 14,744.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,205.91 : 28,783.89 = 9,837.99 : x
  2. Step 2: Convert to fraction form
    19,205.91/28,783.89 = 9,837.99/x
  3. Step 3: Cross multiply
    19,205.91x = 28,783.89 × 9,837.99
  4. Step 4: Simplify right side
    19,205.91x = 283,175,621.98
  5. Step 5: Solve for x
    x = 283,175,621.98/19,205.91
  6. Step 6: Final answer
    x = 14,744.19

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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.