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Finding the Fourth Proportional to 9,470.44, 13,074.81 and 8,419.60

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Solution

The fourth proportional to 9,470.44, 13,074.81 and 8,419.60 is: 11,624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.44 : 13,074.81 = 8,419.60 : x
  2. Step 2: Convert to fraction form
    9,470.44/13,074.81 = 8,419.60/x
  3. Step 3: Cross multiply
    9,470.44x = 13,074.81 × 8,419.60
  4. Step 4: Simplify right side
    9,470.44x = 110,084,637.59
  5. Step 5: Solve for x
    x = 110,084,637.59/9,470.44
  6. Step 6: Final answer
    x = 11,624.03

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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.