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Finding the Fourth Proportional to 5,147.28, 7,718.63 and 1,636.63

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Solution

The fourth proportional to 5,147.28, 7,718.63 and 1,636.63 is: 2,454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.28 : 7,718.63 = 1,636.63 : x
  2. Step 2: Convert to fraction form
    5,147.28/7,718.63 = 1,636.63/x
  3. Step 3: Cross multiply
    5,147.28x = 7,718.63 × 1,636.63
  4. Step 4: Simplify right side
    5,147.28x = 12,632,513.94
  5. Step 5: Solve for x
    x = 12,632,513.94/5,147.28
  6. Step 6: Final answer
    x = 2,454.21

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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.