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Finding the Fourth Proportional to 7,854, 11,781 and 2,382

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Solution

The fourth proportional to 7,854, 11,781 and 2,382 is: 3,573

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854 : 11,781 = 2,382 : x
  2. Step 2: Convert to fraction form
    7,854/11,781 = 2,382/x
  3. Step 3: Cross multiply
    7,854x = 11,781 × 2,382
  4. Step 4: Simplify right side
    7,854x = 28,062,342
  5. Step 5: Solve for x
    x = 28,062,342/7,854
  6. Step 6: Final answer
    x = 3,573

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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.