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Finding the Fourth Proportional to 6,974, 10,461 and 2,815.84

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Solution

The fourth proportional to 6,974, 10,461 and 2,815.84 is: 4,223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974 : 10,461 = 2,815.84 : x
  2. Step 2: Convert to fraction form
    6,974/10,461 = 2,815.84/x
  3. Step 3: Cross multiply
    6,974x = 10,461 × 2,815.84
  4. Step 4: Simplify right side
    6,974x = 29,456,502.24
  5. Step 5: Solve for x
    x = 29,456,502.24/6,974
  6. Step 6: Final answer
    x = 4,223.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.