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Finding the Fourth Proportional to 7,886.56, 11,829.84 and 3,209.12

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Solution

The fourth proportional to 7,886.56, 11,829.84 and 3,209.12 is: 4,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.56 : 11,829.84 = 3,209.12 : x
  2. Step 2: Convert to fraction form
    7,886.56/11,829.84 = 3,209.12/x
  3. Step 3: Cross multiply
    7,886.56x = 11,829.84 × 3,209.12
  4. Step 4: Simplify right side
    7,886.56x = 37,963,376.14
  5. Step 5: Solve for x
    x = 37,963,376.14/7,886.56
  6. Step 6: Final answer
    x = 4,813.68

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Similar ratio
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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.