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Finding the Fourth Proportional to 6,970, 10,455 and 2,811.84

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Solution

The fourth proportional to 6,970, 10,455 and 2,811.84 is: 4,217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970 : 10,455 = 2,811.84 : x
  2. Step 2: Convert to fraction form
    6,970/10,455 = 2,811.84/x
  3. Step 3: Cross multiply
    6,970x = 10,455 × 2,811.84
  4. Step 4: Simplify right side
    6,970x = 29,397,787.20
  5. Step 5: Solve for x
    x = 29,397,787.20/6,970
  6. Step 6: Final answer
    x = 4,217.76

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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.