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Finding the Fourth Proportional to 3,946, 5,919 and 1,210

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Solution

The fourth proportional to 3,946, 5,919 and 1,210 is: 1,815

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946 : 5,919 = 1,210 : x
  2. Step 2: Convert to fraction form
    3,946/5,919 = 1,210/x
  3. Step 3: Cross multiply
    3,946x = 5,919 × 1,210
  4. Step 4: Simplify right side
    3,946x = 7,161,990
  5. Step 5: Solve for x
    x = 7,161,990/3,946
  6. Step 6: Final answer
    x = 1,815

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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.