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Finding the Fourth Proportional to 9,182.08, 13,739.64 and 8,485.12

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Solution

The fourth proportional to 9,182.08, 13,739.64 and 8,485.12 is: 12,696.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.08 : 13,739.64 = 8,485.12 : x
  2. Step 2: Convert to fraction form
    9,182.08/13,739.64 = 8,485.12/x
  3. Step 3: Cross multiply
    9,182.08x = 13,739.64 × 8,485.12
  4. Step 4: Simplify right side
    9,182.08x = 116,582,494.16
  5. Step 5: Solve for x
    x = 116,582,494.16/9,182.08
  6. Step 6: Final answer
    x = 12,696.74

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1.5x scale

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.