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Finding the Fourth Proportional to 8,821, 12,179.48 and 6,021.64

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Solution

The fourth proportional to 8,821, 12,179.48 and 6,021.64 is: 8,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821 : 12,179.48 = 6,021.64 : x
  2. Step 2: Convert to fraction form
    8,821/12,179.48 = 6,021.64/x
  3. Step 3: Cross multiply
    8,821x = 12,179.48 × 6,021.64
  4. Step 4: Simplify right side
    8,821x = 73,340,443.95
  5. Step 5: Solve for x
    x = 73,340,443.95/8,821
  6. Step 6: Final answer
    x = 8,314.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.