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Finding the Fourth Proportional to 5,128.58, 7,690.13 and 2,657.27

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Solution

The fourth proportional to 5,128.58, 7,690.13 and 2,657.27 is: 3,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.58 : 7,690.13 = 2,657.27 : x
  2. Step 2: Convert to fraction form
    5,128.58/7,690.13 = 2,657.27/x
  3. Step 3: Cross multiply
    5,128.58x = 7,690.13 × 2,657.27
  4. Step 4: Simplify right side
    5,128.58x = 20,434,751.75
  5. Step 5: Solve for x
    x = 20,434,751.75/5,128.58
  6. Step 6: Final answer
    x = 3,984.49

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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.