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Finding the Fourth Proportional to 4,206.72, 5,808 and 2,636.16

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Solution

The fourth proportional to 4,206.72, 5,808 and 2,636.16 is: 3,639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.72 : 5,808 = 2,636.16 : x
  2. Step 2: Convert to fraction form
    4,206.72/5,808 = 2,636.16/x
  3. Step 3: Cross multiply
    4,206.72x = 5,808 × 2,636.16
  4. Step 4: Simplify right side
    4,206.72x = 15,310,817.28
  5. Step 5: Solve for x
    x = 15,310,817.28/4,206.72
  6. Step 6: Final answer
    x = 3,639.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.