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Finding the Fourth Proportional to 7,838, 11,757 and 2,366

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Solution

The fourth proportional to 7,838, 11,757 and 2,366 is: 3,549

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838 : 11,757 = 2,366 : x
  2. Step 2: Convert to fraction form
    7,838/11,757 = 2,366/x
  3. Step 3: Cross multiply
    7,838x = 11,757 × 2,366
  4. Step 4: Simplify right side
    7,838x = 27,817,062
  5. Step 5: Solve for x
    x = 27,817,062/7,838
  6. Step 6: Final answer
    x = 3,549

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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.