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Finding the Fourth Proportional to 3,098.05, 4,647.80 and 906.82

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Solution

The fourth proportional to 3,098.05, 4,647.80 and 906.82 is: 1,360.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.05 : 4,647.80 = 906.82 : x
  2. Step 2: Convert to fraction form
    3,098.05/4,647.80 = 906.82/x
  3. Step 3: Cross multiply
    3,098.05x = 4,647.80 × 906.82
  4. Step 4: Simplify right side
    3,098.05x = 4,214,713.46
  5. Step 5: Solve for x
    x = 4,214,713.46/3,098.05
  6. Step 6: Final answer
    x = 1,360.44

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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.