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Finding the Fourth Proportional to 5,412.02, 8,112.99 and 1,900.09

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Solution

The fourth proportional to 5,412.02, 8,112.99 and 1,900.09 is: 2,848.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.02 : 8,112.99 = 1,900.09 : x
  2. Step 2: Convert to fraction form
    5,412.02/8,112.99 = 1,900.09/x
  3. Step 3: Cross multiply
    5,412.02x = 8,112.99 × 1,900.09
  4. Step 4: Simplify right side
    5,412.02x = 15,415,428.44
  5. Step 5: Solve for x
    x = 15,415,428.44/5,412.02
  6. Step 6: Final answer
    x = 2,848.37

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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.