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Finding the Fourth Proportional to 13,148.64, 18,145.08 and 7,843.68

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Solution

The fourth proportional to 13,148.64, 18,145.08 and 7,843.68 is: 10,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,148.64 : 18,145.08 = 7,843.68 : x
  2. Step 2: Convert to fraction form
    13,148.64/18,145.08 = 7,843.68/x
  3. Step 3: Cross multiply
    13,148.64x = 18,145.08 × 7,843.68
  4. Step 4: Simplify right side
    13,148.64x = 142,324,201.09
  5. Step 5: Solve for x
    x = 142,324,201.09/13,148.64
  6. Step 6: Final answer
    x = 10,824.25

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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.