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Finding the Fourth Proportional to 6,311.65, 9,468.83 and 1,928.96

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Solution

The fourth proportional to 6,311.65, 9,468.83 and 1,928.96 is: 2,893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.65 : 9,468.83 = 1,928.96 : x
  2. Step 2: Convert to fraction form
    6,311.65/9,468.83 = 1,928.96/x
  3. Step 3: Cross multiply
    6,311.65x = 9,468.83 × 1,928.96
  4. Step 4: Simplify right side
    6,311.65x = 18,264,994.32
  5. Step 5: Solve for x
    x = 18,264,994.32/6,311.65
  6. Step 6: Final answer
    x = 2,893.85

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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.