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Finding the Fourth Proportional to 4,974.48, 6,864.48 and 2,986.14

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Solution

The fourth proportional to 4,974.48, 6,864.48 and 2,986.14 is: 4,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.48 : 6,864.48 = 2,986.14 : x
  2. Step 2: Convert to fraction form
    4,974.48/6,864.48 = 2,986.14/x
  3. Step 3: Cross multiply
    4,974.48x = 6,864.48 × 2,986.14
  4. Step 4: Simplify right side
    4,974.48x = 20,498,298.31
  5. Step 5: Solve for x
    x = 20,498,298.31/4,974.48
  6. Step 6: Final answer
    x = 4,120.69

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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.