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Finding the Fourth Proportional to 12,641.44, 17,436.48 and 9,984.64

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Solution

The fourth proportional to 12,641.44, 17,436.48 and 9,984.64 is: 13,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.44 : 17,436.48 = 9,984.64 : x
  2. Step 2: Convert to fraction form
    12,641.44/17,436.48 = 9,984.64/x
  3. Step 3: Cross multiply
    12,641.44x = 17,436.48 × 9,984.64
  4. Step 4: Simplify right side
    12,641.44x = 174,096,975.67
  5. Step 5: Solve for x
    x = 174,096,975.67/12,641.44
  6. Step 6: Final answer
    x = 13,771.93

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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.