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Finding the Fourth Proportional to 9,405.75, 12,980.07 and 5,214

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Solution

The fourth proportional to 9,405.75, 12,980.07 and 5,214 is: 7,195.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.75 : 12,980.07 = 5,214 : x
  2. Step 2: Convert to fraction form
    9,405.75/12,980.07 = 5,214/x
  3. Step 3: Cross multiply
    9,405.75x = 12,980.07 × 5,214
  4. Step 4: Simplify right side
    9,405.75x = 67,678,084.98
  5. Step 5: Solve for x
    x = 67,678,084.98/9,405.75
  6. Step 6: Final answer
    x = 7,195.39

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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.