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Finding the Fourth Proportional to 4,946, 7,419 and 1,298

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Solution

The fourth proportional to 4,946, 7,419 and 1,298 is: 1,947

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946 : 7,419 = 1,298 : x
  2. Step 2: Convert to fraction form
    4,946/7,419 = 1,298/x
  3. Step 3: Cross multiply
    4,946x = 7,419 × 1,298
  4. Step 4: Simplify right side
    4,946x = 9,629,862
  5. Step 5: Solve for x
    x = 9,629,862/4,946
  6. Step 6: Final answer
    x = 1,947

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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.