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Finding the Fourth Proportional to 8,322, 12,483 and 5,038.80

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Solution

The fourth proportional to 8,322, 12,483 and 5,038.80 is: 7,558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322 : 12,483 = 5,038.80 : x
  2. Step 2: Convert to fraction form
    8,322/12,483 = 5,038.80/x
  3. Step 3: Cross multiply
    8,322x = 12,483 × 5,038.80
  4. Step 4: Simplify right side
    8,322x = 62,899,340.40
  5. Step 5: Solve for x
    x = 62,899,340.40/8,322
  6. Step 6: Final answer
    x = 7,558.20

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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.