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Finding the Fourth Proportional to 13,950.81, 20,908.42 and 6,538.94

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Solution

The fourth proportional to 13,950.81, 20,908.42 and 6,538.94 is: 9,800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,950.81 : 20,908.42 = 6,538.94 : x
  2. Step 2: Convert to fraction form
    13,950.81/20,908.42 = 6,538.94/x
  3. Step 3: Cross multiply
    13,950.81x = 20,908.42 × 6,538.94
  4. Step 4: Simplify right side
    13,950.81x = 136,718,956.15
  5. Step 5: Solve for x
    x = 136,718,956.15/13,950.81
  6. Step 6: Final answer
    x = 9,800.07

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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.