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Finding the Fourth Proportional to 5,118.62, 7,678.06 and 3,828.28

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Solution

The fourth proportional to 5,118.62, 7,678.06 and 3,828.28 is: 5,742.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.62 : 7,678.06 = 3,828.28 : x
  2. Step 2: Convert to fraction form
    5,118.62/7,678.06 = 3,828.28/x
  3. Step 3: Cross multiply
    5,118.62x = 7,678.06 × 3,828.28
  4. Step 4: Simplify right side
    5,118.62x = 29,393,763.54
  5. Step 5: Solve for x
    x = 29,393,763.54/5,118.62
  6. Step 6: Final answer
    x = 5,742.52

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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.