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Finding the Fourth Proportional to 8,549.10, 12,825 and 3,618.77

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Solution

The fourth proportional to 8,549.10, 12,825 and 3,618.77 is: 5,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.10 : 12,825 = 3,618.77 : x
  2. Step 2: Convert to fraction form
    8,549.10/12,825 = 3,618.77/x
  3. Step 3: Cross multiply
    8,549.10x = 12,825 × 3,618.77
  4. Step 4: Simplify right side
    8,549.10x = 46,410,661.13
  5. Step 5: Solve for x
    x = 46,410,661.13/8,549.10
  6. Step 6: Final answer
    x = 5,428.72

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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.