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Finding the Fourth Proportional to 4,974, 6,864.28 and 2,766

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Solution

The fourth proportional to 4,974, 6,864.28 and 2,766 is: 3,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974 : 6,864.28 = 2,766 : x
  2. Step 2: Convert to fraction form
    4,974/6,864.28 = 2,766/x
  3. Step 3: Cross multiply
    4,974x = 6,864.28 × 2,766
  4. Step 4: Simplify right side
    4,974x = 18,986,598.48
  5. Step 5: Solve for x
    x = 18,986,598.48/4,974
  6. Step 6: Final answer
    x = 3,817.17

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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.