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Finding the Fourth Proportional to 9,878, 14,817 and 2,582

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Solution

The fourth proportional to 9,878, 14,817 and 2,582 is: 3,873

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878 : 14,817 = 2,582 : x
  2. Step 2: Convert to fraction form
    9,878/14,817 = 2,582/x
  3. Step 3: Cross multiply
    9,878x = 14,817 × 2,582
  4. Step 4: Simplify right side
    9,878x = 38,257,494
  5. Step 5: Solve for x
    x = 38,257,494/9,878
  6. Step 6: Final answer
    x = 3,873

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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.