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Finding the Fourth Proportional to 7,962, 11,943 and 2,490

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Solution

The fourth proportional to 7,962, 11,943 and 2,490 is: 3,735

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962 : 11,943 = 2,490 : x
  2. Step 2: Convert to fraction form
    7,962/11,943 = 2,490/x
  3. Step 3: Cross multiply
    7,962x = 11,943 × 2,490
  4. Step 4: Simplify right side
    7,962x = 29,738,070
  5. Step 5: Solve for x
    x = 29,738,070/7,962
  6. Step 6: Final answer
    x = 3,735

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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.