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Finding the Fourth Proportional to 12,364.75, 18,522.41 and 7,431.70

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Solution

The fourth proportional to 12,364.75, 18,522.41 and 7,431.70 is: 11,132.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.75 : 18,522.41 = 7,431.70 : x
  2. Step 2: Convert to fraction form
    12,364.75/18,522.41 = 7,431.70/x
  3. Step 3: Cross multiply
    12,364.75x = 18,522.41 × 7,431.70
  4. Step 4: Simplify right side
    12,364.75x = 137,652,977.01
  5. Step 5: Solve for x
    x = 137,652,977.01/12,364.75
  6. Step 6: Final answer
    x = 11,132.69

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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.