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Finding the Fourth Proportional to 13,019.70, 17,971.38 and 9,661.44

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Solution

The fourth proportional to 13,019.70, 17,971.38 and 9,661.44 is: 13,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.70 : 17,971.38 = 9,661.44 : x
  2. Step 2: Convert to fraction form
    13,019.70/17,971.38 = 9,661.44/x
  3. Step 3: Cross multiply
    13,019.70x = 17,971.38 × 9,661.44
  4. Step 4: Simplify right side
    13,019.70x = 173,629,409.59
  5. Step 5: Solve for x
    x = 173,629,409.59/13,019.70
  6. Step 6: Final answer
    x = 13,335.90

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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.