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Finding the Fourth Proportional to 13,770.94, 19,003.91 and 7,803.01

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Solution

The fourth proportional to 13,770.94, 19,003.91 and 7,803.01 is: 10,768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.94 : 19,003.91 = 7,803.01 : x
  2. Step 2: Convert to fraction form
    13,770.94/19,003.91 = 7,803.01/x
  3. Step 3: Cross multiply
    13,770.94x = 19,003.91 × 7,803.01
  4. Step 4: Simplify right side
    13,770.94x = 148,287,604.75
  5. Step 5: Solve for x
    x = 148,287,604.75/13,770.94
  6. Step 6: Final answer
    x = 10,768.16

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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.