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Finding the Fourth Proportional to 11,977.42, 17,950.64 and 8,273.74

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Solution

The fourth proportional to 11,977.42, 17,950.64 and 8,273.74 is: 12,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.42 : 17,950.64 = 8,273.74 : x
  2. Step 2: Convert to fraction form
    11,977.42/17,950.64 = 8,273.74/x
  3. Step 3: Cross multiply
    11,977.42x = 17,950.64 × 8,273.74
  4. Step 4: Simplify right side
    11,977.42x = 148,518,928.19
  5. Step 5: Solve for x
    x = 148,518,928.19/11,977.42
  6. Step 6: Final answer
    x = 12,399.91

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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.