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Finding the Fourth Proportional to 3,897.95, 5,838.62 and 3,628.22

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Solution

The fourth proportional to 3,897.95, 5,838.62 and 3,628.22 is: 5,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.95 : 5,838.62 = 3,628.22 : x
  2. Step 2: Convert to fraction form
    3,897.95/5,838.62 = 3,628.22/x
  3. Step 3: Cross multiply
    3,897.95x = 5,838.62 × 3,628.22
  4. Step 4: Simplify right side
    3,897.95x = 21,183,750.52
  5. Step 5: Solve for x
    x = 21,183,750.52/3,897.95
  6. Step 6: Final answer
    x = 5,434.59

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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.