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Finding the Fourth Proportional to 9,618.81, 13,244.34 and 8,199.31

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Solution

The fourth proportional to 9,618.81, 13,244.34 and 8,199.31 is: 11,289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.81 : 13,244.34 = 8,199.31 : x
  2. Step 2: Convert to fraction form
    9,618.81/13,244.34 = 8,199.31/x
  3. Step 3: Cross multiply
    9,618.81x = 13,244.34 × 8,199.31
  4. Step 4: Simplify right side
    9,618.81x = 108,594,449.41
  5. Step 5: Solve for x
    x = 108,594,449.41/9,618.81
  6. Step 6: Final answer
    x = 11,289.80

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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.