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Finding the Fourth Proportional to 12,946, 19,419 and 3,218

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Solution

The fourth proportional to 12,946, 19,419 and 3,218 is: 4,827

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946 : 19,419 = 3,218 : x
  2. Step 2: Convert to fraction form
    12,946/19,419 = 3,218/x
  3. Step 3: Cross multiply
    12,946x = 19,419 × 3,218
  4. Step 4: Simplify right side
    12,946x = 62,490,342
  5. Step 5: Solve for x
    x = 62,490,342/12,946
  6. Step 6: Final answer
    x = 4,827

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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.