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Finding the Fourth Proportional to 7,758.92, 11,631.32 and 2,827.44

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Solution

The fourth proportional to 7,758.92, 11,631.32 and 2,827.44 is: 4,238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.92 : 11,631.32 = 2,827.44 : x
  2. Step 2: Convert to fraction form
    7,758.92/11,631.32 = 2,827.44/x
  3. Step 3: Cross multiply
    7,758.92x = 11,631.32 × 2,827.44
  4. Step 4: Simplify right side
    7,758.92x = 32,886,801.26
  5. Step 5: Solve for x
    x = 32,886,801.26/7,758.92
  6. Step 6: Final answer
    x = 4,238.58

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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.