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Finding the Fourth Proportional to 12,157.72, 16,771.88 and 7,118.80

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Solution

The fourth proportional to 12,157.72, 16,771.88 and 7,118.80 is: 9,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.72 : 16,771.88 = 7,118.80 : x
  2. Step 2: Convert to fraction form
    12,157.72/16,771.88 = 7,118.80/x
  3. Step 3: Cross multiply
    12,157.72x = 16,771.88 × 7,118.80
  4. Step 4: Simplify right side
    12,157.72x = 119,395,659.34
  5. Step 5: Solve for x
    x = 119,395,659.34/12,157.72
  6. Step 6: Final answer
    x = 9,820.56

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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.