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Finding the Fourth Proportional to 8,325.23, 12,399.50 and 8,285.00

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Solution

The fourth proportional to 8,325.23, 12,399.50 and 8,285.00 is: 12,339.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325.23 : 12,399.50 = 8,285.00 : x
  2. Step 2: Convert to fraction form
    8,325.23/12,399.50 = 8,285.00/x
  3. Step 3: Cross multiply
    8,325.23x = 12,399.50 × 8,285.00
  4. Step 4: Simplify right side
    8,325.23x = 102,729,754.08
  5. Step 5: Solve for x
    x = 102,729,754.08/8,325.23
  6. Step 6: Final answer
    x = 12,339.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.