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Finding the Fourth Proportional to 13,294.85, 19,942.28 and 9,122.21

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Solution

The fourth proportional to 13,294.85, 19,942.28 and 9,122.21 is: 13,683.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.85 : 19,942.28 = 9,122.21 : x
  2. Step 2: Convert to fraction form
    13,294.85/19,942.28 = 9,122.21/x
  3. Step 3: Cross multiply
    13,294.85x = 19,942.28 × 9,122.21
  4. Step 4: Simplify right side
    13,294.85x = 181,917,520.72
  5. Step 5: Solve for x
    x = 181,917,520.72/13,294.85
  6. Step 6: Final answer
    x = 13,683.31

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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.