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Finding the Fourth Proportional to 3,946, 5,445.80 and 2,290

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Solution

The fourth proportional to 3,946, 5,445.80 and 2,290 is: 3,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946 : 5,445.80 = 2,290 : x
  2. Step 2: Convert to fraction form
    3,946/5,445.80 = 2,290/x
  3. Step 3: Cross multiply
    3,946x = 5,445.80 × 2,290
  4. Step 4: Simplify right side
    3,946x = 12,470,882
  5. Step 5: Solve for x
    x = 12,470,882/3,946
  6. Step 6: Final answer
    x = 3,160.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.