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Finding the Fourth Proportional to 7,974, 11,967.12 and 4,078.08

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Solution

The fourth proportional to 7,974, 11,967.12 and 4,078.08 is: 6,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974 : 11,967.12 = 4,078.08 : x
  2. Step 2: Convert to fraction form
    7,974/11,967.12 = 4,078.08/x
  3. Step 3: Cross multiply
    7,974x = 11,967.12 × 4,078.08
  4. Step 4: Simplify right side
    7,974x = 48,802,872.73
  5. Step 5: Solve for x
    x = 48,802,872.73/7,974
  6. Step 6: Final answer
    x = 6,120.25

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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.