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Finding the Fourth Proportional to 13,719, 18,912.78 and 9,749.19

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Solution

The fourth proportional to 13,719, 18,912.78 and 9,749.19 is: 13,440.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,719 : 18,912.78 = 9,749.19 : x
  2. Step 2: Convert to fraction form
    13,719/18,912.78 = 9,749.19/x
  3. Step 3: Cross multiply
    13,719x = 18,912.78 × 9,749.19
  4. Step 4: Simplify right side
    13,719x = 184,384,285.65
  5. Step 5: Solve for x
    x = 184,384,285.65/13,719
  6. Step 6: Final answer
    x = 13,440.07

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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.