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Finding the Fourth Proportional to 13,321.97, 19,963.88 and 9,784.22

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Solution

The fourth proportional to 13,321.97, 19,963.88 and 9,784.22 is: 14,662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,321.97 : 19,963.88 = 9,784.22 : x
  2. Step 2: Convert to fraction form
    13,321.97/19,963.88 = 9,784.22/x
  3. Step 3: Cross multiply
    13,321.97x = 19,963.88 × 9,784.22
  4. Step 4: Simplify right side
    13,321.97x = 195,330,845.23
  5. Step 5: Solve for x
    x = 195,330,845.23/13,321.97
  6. Step 6: Final answer
    x = 14,662.31

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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.