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Finding the Fourth Proportional to 4,486, 6,698.72 and 3,665.84

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Solution

The fourth proportional to 4,486, 6,698.72 and 3,665.84 is: 5,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486 : 6,698.72 = 3,665.84 : x
  2. Step 2: Convert to fraction form
    4,486/6,698.72 = 3,665.84/x
  3. Step 3: Cross multiply
    4,486x = 6,698.72 × 3,665.84
  4. Step 4: Simplify right side
    4,486x = 24,556,435.72
  5. Step 5: Solve for x
    x = 24,556,435.72/4,486
  6. Step 6: Final answer
    x = 5,474.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.