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Finding the Fourth Proportional to 4,842, 6,678.84 and 2,979.12

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Solution

The fourth proportional to 4,842, 6,678.84 and 2,979.12 is: 4,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842 : 6,678.84 = 2,979.12 : x
  2. Step 2: Convert to fraction form
    4,842/6,678.84 = 2,979.12/x
  3. Step 3: Cross multiply
    4,842x = 6,678.84 × 2,979.12
  4. Step 4: Simplify right side
    4,842x = 19,897,065.82
  5. Step 5: Solve for x
    x = 19,897,065.82/4,842
  6. Step 6: Final answer
    x = 4,109.27

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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.