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Finding the Fourth Proportional to 3,998.61, 5,488.74 and 3,546.63

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Solution

The fourth proportional to 3,998.61, 5,488.74 and 3,546.63 is: 4,868.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.61 : 5,488.74 = 3,546.63 : x
  2. Step 2: Convert to fraction form
    3,998.61/5,488.74 = 3,546.63/x
  3. Step 3: Cross multiply
    3,998.61x = 5,488.74 × 3,546.63
  4. Step 4: Simplify right side
    3,998.61x = 19,466,529.95
  5. Step 5: Solve for x
    x = 19,466,529.95/3,998.61
  6. Step 6: Final answer
    x = 4,868.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.