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Finding the Fourth Proportional to 3,897.06, 5,843.70 and 1,948.20

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Solution

The fourth proportional to 3,897.06, 5,843.70 and 1,948.20 is: 2,921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.06 : 5,843.70 = 1,948.20 : x
  2. Step 2: Convert to fraction form
    3,897.06/5,843.70 = 1,948.20/x
  3. Step 3: Cross multiply
    3,897.06x = 5,843.70 × 1,948.20
  4. Step 4: Simplify right side
    3,897.06x = 11,384,696.34
  5. Step 5: Solve for x
    x = 11,384,696.34/3,897.06
  6. Step 6: Final answer
    x = 2,921.36

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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.