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Finding the Fourth Proportional to 13,195.21, 19,793.43 and 7,347.42

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Solution

The fourth proportional to 13,195.21, 19,793.43 and 7,347.42 is: 11,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,195.21 : 19,793.43 = 7,347.42 : x
  2. Step 2: Convert to fraction form
    13,195.21/19,793.43 = 7,347.42/x
  3. Step 3: Cross multiply
    13,195.21x = 19,793.43 × 7,347.42
  4. Step 4: Simplify right side
    13,195.21x = 145,430,643.45
  5. Step 5: Solve for x
    x = 145,430,643.45/13,195.21
  6. Step 6: Final answer
    x = 11,021.47

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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.