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Finding the Fourth Proportional to 12,311.38, 18,467.07 and 7,374.84

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Solution

The fourth proportional to 12,311.38, 18,467.07 and 7,374.84 is: 11,062.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.38 : 18,467.07 = 7,374.84 : x
  2. Step 2: Convert to fraction form
    12,311.38/18,467.07 = 7,374.84/x
  3. Step 3: Cross multiply
    12,311.38x = 18,467.07 × 7,374.84
  4. Step 4: Simplify right side
    12,311.38x = 136,191,686.52
  5. Step 5: Solve for x
    x = 136,191,686.52/12,311.38
  6. Step 6: Final answer
    x = 11,062.26

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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.