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Finding the Fourth Proportional to 12,907.21, 19,361.97 and 5,009.54

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Solution

The fourth proportional to 12,907.21, 19,361.97 and 5,009.54 is: 7,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.21 : 19,361.97 = 5,009.54 : x
  2. Step 2: Convert to fraction form
    12,907.21/19,361.97 = 5,009.54/x
  3. Step 3: Cross multiply
    12,907.21x = 19,361.97 × 5,009.54
  4. Step 4: Simplify right side
    12,907.21x = 96,994,563.19
  5. Step 5: Solve for x
    x = 96,994,563.19/12,907.21
  6. Step 6: Final answer
    x = 7,514.76

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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.