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Finding the Fourth Proportional to 14,399.39, 19,878.99 and 9,947.09

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Solution

The fourth proportional to 14,399.39, 19,878.99 and 9,947.09 is: 13,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,399.39 : 19,878.99 = 9,947.09 : x
  2. Step 2: Convert to fraction form
    14,399.39/19,878.99 = 9,947.09/x
  3. Step 3: Cross multiply
    14,399.39x = 19,878.99 × 9,947.09
  4. Step 4: Simplify right side
    14,399.39x = 197,738,003.24
  5. Step 5: Solve for x
    x = 197,738,003.24/14,399.39
  6. Step 6: Final answer
    x = 13,732.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.