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Finding the Fourth Proportional to 8,388, 12,583.80 and 2,841.48

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Solution

The fourth proportional to 8,388, 12,583.80 and 2,841.48 is: 4,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388 : 12,583.80 = 2,841.48 : x
  2. Step 2: Convert to fraction form
    8,388/12,583.80 = 2,841.48/x
  3. Step 3: Cross multiply
    8,388x = 12,583.80 × 2,841.48
  4. Step 4: Simplify right side
    8,388x = 35,756,616.02
  5. Step 5: Solve for x
    x = 35,756,616.02/8,388
  6. Step 6: Final answer
    x = 4,262.83

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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.