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Finding the Fourth Proportional to 8,189.48, 12,276.48 and 3,262.16

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Solution

The fourth proportional to 8,189.48, 12,276.48 and 3,262.16 is: 4,890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.48 : 12,276.48 = 3,262.16 : x
  2. Step 2: Convert to fraction form
    8,189.48/12,276.48 = 3,262.16/x
  3. Step 3: Cross multiply
    8,189.48x = 12,276.48 × 3,262.16
  4. Step 4: Simplify right side
    8,189.48x = 40,047,842.00
  5. Step 5: Solve for x
    x = 40,047,842.00/8,189.48
  6. Step 6: Final answer
    x = 4,890.16

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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.