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Finding the Fourth Proportional to 5,135.68, 7,706.88 and 3,983.68

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Solution

The fourth proportional to 5,135.68, 7,706.88 and 3,983.68 is: 5,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.68 : 7,706.88 = 3,983.68 : x
  2. Step 2: Convert to fraction form
    5,135.68/7,706.88 = 3,983.68/x
  3. Step 3: Cross multiply
    5,135.68x = 7,706.88 × 3,983.68
  4. Step 4: Simplify right side
    5,135.68x = 30,701,743.72
  5. Step 5: Solve for x
    x = 30,701,743.72/5,135.68
  6. Step 6: Final answer
    x = 5,978.13

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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.