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Finding the Fourth Proportional to 7,840, 11,760 and 2,368

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Solution

The fourth proportional to 7,840, 11,760 and 2,368 is: 3,552

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840 : 11,760 = 2,368 : x
  2. Step 2: Convert to fraction form
    7,840/11,760 = 2,368/x
  3. Step 3: Cross multiply
    7,840x = 11,760 × 2,368
  4. Step 4: Simplify right side
    7,840x = 27,847,680
  5. Step 5: Solve for x
    x = 27,847,680/7,840
  6. Step 6: Final answer
    x = 3,552

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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.