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Finding the Fourth Proportional to 9,182, 12,674.16 and 5,405.12

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Solution

The fourth proportional to 9,182, 12,674.16 and 5,405.12 is: 7,460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182 : 12,674.16 = 5,405.12 : x
  2. Step 2: Convert to fraction form
    9,182/12,674.16 = 5,405.12/x
  3. Step 3: Cross multiply
    9,182x = 12,674.16 × 5,405.12
  4. Step 4: Simplify right side
    9,182x = 68,505,355.70
  5. Step 5: Solve for x
    x = 68,505,355.70/9,182
  6. Step 6: Final answer
    x = 7,460.83

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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.