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Finding the Fourth Proportional to 4,618, 6,369.84 and 3,108.16

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Solution

The fourth proportional to 4,618, 6,369.84 and 3,108.16 is: 4,287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618 : 6,369.84 = 3,108.16 : x
  2. Step 2: Convert to fraction form
    4,618/6,369.84 = 3,108.16/x
  3. Step 3: Cross multiply
    4,618x = 6,369.84 × 3,108.16
  4. Step 4: Simplify right side
    4,618x = 19,798,481.89
  5. Step 5: Solve for x
    x = 19,798,481.89/4,618
  6. Step 6: Final answer
    x = 4,287.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.