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Finding the Fourth Proportional to 13,842.81, 20,768.21 and 6,824.93

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Solution

The fourth proportional to 13,842.81, 20,768.21 and 6,824.93 is: 10,239.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.81 : 20,768.21 = 6,824.93 : x
  2. Step 2: Convert to fraction form
    13,842.81/20,768.21 = 6,824.93/x
  3. Step 3: Cross multiply
    13,842.81x = 20,768.21 × 6,824.93
  4. Step 4: Simplify right side
    13,842.81x = 141,741,441.51
  5. Step 5: Solve for x
    x = 141,741,441.51/13,842.81
  6. Step 6: Final answer
    x = 10,239.35

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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.