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Finding the Fourth Proportional to 3,415.84, 5,128.08 and 2,906.08

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Solution

The fourth proportional to 3,415.84, 5,128.08 and 2,906.08 is: 4,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.84 : 5,128.08 = 2,906.08 : x
  2. Step 2: Convert to fraction form
    3,415.84/5,128.08 = 2,906.08/x
  3. Step 3: Cross multiply
    3,415.84x = 5,128.08 × 2,906.08
  4. Step 4: Simplify right side
    3,415.84x = 14,902,610.73
  5. Step 5: Solve for x
    x = 14,902,610.73/3,415.84
  6. Step 6: Final answer
    x = 4,362.80

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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.