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Finding the Fourth Proportional to 13,805.82, 19,052.11 and 7,756.10

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Solution

The fourth proportional to 13,805.82, 19,052.11 and 7,756.10 is: 10,703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.82 : 19,052.11 = 7,756.10 : x
  2. Step 2: Convert to fraction form
    13,805.82/19,052.11 = 7,756.10/x
  3. Step 3: Cross multiply
    13,805.82x = 19,052.11 × 7,756.10
  4. Step 4: Simplify right side
    13,805.82x = 147,770,163.42
  5. Step 5: Solve for x
    x = 147,770,163.42/13,805.82
  6. Step 6: Final answer
    x = 10,703.47

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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.