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Finding the Fourth Proportional to 13,751.49, 18,975.81 and 7,782.21

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Solution

The fourth proportional to 13,751.49, 18,975.81 and 7,782.21 is: 10,738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.49 : 18,975.81 = 7,782.21 : x
  2. Step 2: Convert to fraction form
    13,751.49/18,975.81 = 7,782.21/x
  3. Step 3: Cross multiply
    13,751.49x = 18,975.81 × 7,782.21
  4. Step 4: Simplify right side
    13,751.49x = 147,673,738.34
  5. Step 5: Solve for x
    x = 147,673,738.34/13,751.49
  6. Step 6: Final answer
    x = 10,738.74

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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.