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Finding the Fourth Proportional to 9,405.90, 12,974.79 and 8,454.54

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Solution

The fourth proportional to 9,405.90, 12,974.79 and 8,454.54 is: 11,662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.90 : 12,974.79 = 8,454.54 : x
  2. Step 2: Convert to fraction form
    9,405.90/12,974.79 = 8,454.54/x
  3. Step 3: Cross multiply
    9,405.90x = 12,974.79 × 8,454.54
  4. Step 4: Simplify right side
    9,405.90x = 109,695,881.05
  5. Step 5: Solve for x
    x = 109,695,881.05/9,405.90
  6. Step 6: Final answer
    x = 11,662.45

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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.