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Finding the Fourth Proportional to 7,964, 11,946 and 2,492

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Solution

The fourth proportional to 7,964, 11,946 and 2,492 is: 3,738

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964 : 11,946 = 2,492 : x
  2. Step 2: Convert to fraction form
    7,964/11,946 = 2,492/x
  3. Step 3: Cross multiply
    7,964x = 11,946 × 2,492
  4. Step 4: Simplify right side
    7,964x = 29,769,432
  5. Step 5: Solve for x
    x = 29,769,432/7,964
  6. Step 6: Final answer
    x = 3,738

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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.