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Finding the Fourth Proportional to 12,157.64, 18,224.16 and 4,757.48

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Solution

The fourth proportional to 12,157.64, 18,224.16 and 4,757.48 is: 7,131.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.64 : 18,224.16 = 4,757.48 : x
  2. Step 2: Convert to fraction form
    12,157.64/18,224.16 = 4,757.48/x
  3. Step 3: Cross multiply
    12,157.64x = 18,224.16 × 4,757.48
  4. Step 4: Simplify right side
    12,157.64x = 86,701,076.72
  5. Step 5: Solve for x
    x = 86,701,076.72/12,157.64
  6. Step 6: Final answer
    x = 7,131.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.