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Finding the Fourth Proportional to 9,409.90, 12,980.31 and 8,458.54

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Solution

The fourth proportional to 9,409.90, 12,980.31 and 8,458.54 is: 11,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.90 : 12,980.31 = 8,458.54 : x
  2. Step 2: Convert to fraction form
    9,409.90/12,980.31 = 8,458.54/x
  3. Step 3: Cross multiply
    9,409.90x = 12,980.31 × 8,458.54
  4. Step 4: Simplify right side
    9,409.90x = 109,794,471.35
  5. Step 5: Solve for x
    x = 109,794,471.35/9,409.90
  6. Step 6: Final answer
    x = 11,667.97

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1.5x scale

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.