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Finding the Fourth Proportional to 13,965, 20,933.52 and 7,727.79

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Solution

The fourth proportional to 13,965, 20,933.52 and 7,727.79 is: 11,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965 : 20,933.52 = 7,727.79 : x
  2. Step 2: Convert to fraction form
    13,965/20,933.52 = 7,727.79/x
  3. Step 3: Cross multiply
    13,965x = 20,933.52 × 7,727.79
  4. Step 4: Simplify right side
    13,965x = 161,769,846.52
  5. Step 5: Solve for x
    x = 161,769,846.52/13,965
  6. Step 6: Final answer
    x = 11,583.95

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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.