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Finding the Fourth Proportional to 7,440, 11,160 and 1,968

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Solution

The fourth proportional to 7,440, 11,160 and 1,968 is: 2,952

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,440 : 11,160 = 1,968 : x
  2. Step 2: Convert to fraction form
    7,440/11,160 = 1,968/x
  3. Step 3: Cross multiply
    7,440x = 11,160 × 1,968
  4. Step 4: Simplify right side
    7,440x = 21,962,880
  5. Step 5: Solve for x
    x = 21,962,880/7,440
  6. Step 6: Final answer
    x = 2,952

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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.