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Finding the Fourth Proportional to 7,381, 11,054.94 and 5,732.56

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Solution

The fourth proportional to 7,381, 11,054.94 and 5,732.56 is: 8,585.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381 : 11,054.94 = 5,732.56 : x
  2. Step 2: Convert to fraction form
    7,381/11,054.94 = 5,732.56/x
  3. Step 3: Cross multiply
    7,381x = 11,054.94 × 5,732.56
  4. Step 4: Simplify right side
    7,381x = 63,373,106.85
  5. Step 5: Solve for x
    x = 63,373,106.85/7,381
  6. Step 6: Final answer
    x = 8,585.98

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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.