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Finding the Fourth Proportional to 6,388, 9,582 and 1,771

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Solution

The fourth proportional to 6,388, 9,582 and 1,771 is: 2,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388 : 9,582 = 1,771 : x
  2. Step 2: Convert to fraction form
    6,388/9,582 = 1,771/x
  3. Step 3: Cross multiply
    6,388x = 9,582 × 1,771
  4. Step 4: Simplify right side
    6,388x = 16,969,722
  5. Step 5: Solve for x
    x = 16,969,722/6,388
  6. Step 6: Final answer
    x = 2,656.50

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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.