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Finding the Fourth Proportional to 11,907.45, 16,383.99 and 9,775.14

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Solution

The fourth proportional to 11,907.45, 16,383.99 and 9,775.14 is: 13,450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.45 : 16,383.99 = 9,775.14 : x
  2. Step 2: Convert to fraction form
    11,907.45/16,383.99 = 9,775.14/x
  3. Step 3: Cross multiply
    11,907.45x = 16,383.99 × 9,775.14
  4. Step 4: Simplify right side
    11,907.45x = 160,155,796.01
  5. Step 5: Solve for x
    x = 160,155,796.01/11,907.45
  6. Step 6: Final answer
    x = 13,450.05

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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.