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Finding the Fourth Proportional to 20,408.96, 30,598.97 and 7,918.46

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Solution

The fourth proportional to 20,408.96, 30,598.97 and 7,918.46 is: 11,872.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.96 : 30,598.97 = 7,918.46 : x
  2. Step 2: Convert to fraction form
    20,408.96/30,598.97 = 7,918.46/x
  3. Step 3: Cross multiply
    20,408.96x = 30,598.97 × 7,918.46
  4. Step 4: Simplify right side
    20,408.96x = 242,296,642.15
  5. Step 5: Solve for x
    x = 242,296,642.15/20,408.96
  6. Step 6: Final answer
    x = 11,872.07

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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.