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Finding the Fourth Proportional to 12,115.53, 18,173.48 and 7,982.01

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Solution

The fourth proportional to 12,115.53, 18,173.48 and 7,982.01 is: 11,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.53 : 18,173.48 = 7,982.01 : x
  2. Step 2: Convert to fraction form
    12,115.53/18,173.48 = 7,982.01/x
  3. Step 3: Cross multiply
    12,115.53x = 18,173.48 × 7,982.01
  4. Step 4: Simplify right side
    12,115.53x = 145,060,859.18
  5. Step 5: Solve for x
    x = 145,060,859.18/12,115.53
  6. Step 6: Final answer
    x = 11,973.13

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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.