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Finding the Fourth Proportional to 13,771.53, 19,003.96 and 7,803.07

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Solution

The fourth proportional to 13,771.53, 19,003.96 and 7,803.07 is: 10,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.53 : 19,003.96 = 7,803.07 : x
  2. Step 2: Convert to fraction form
    13,771.53/19,003.96 = 7,803.07/x
  3. Step 3: Cross multiply
    13,771.53x = 19,003.96 × 7,803.07
  4. Step 4: Simplify right side
    13,771.53x = 148,289,163.14
  5. Step 5: Solve for x
    x = 148,289,163.14/13,771.53
  6. Step 6: Final answer
    x = 10,767.81

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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.