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Finding the Fourth Proportional to 8,376.30, 12,563.84 and 3,379

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Solution

The fourth proportional to 8,376.30, 12,563.84 and 3,379 is: 5,068.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376.30 : 12,563.84 = 3,379 : x
  2. Step 2: Convert to fraction form
    8,376.30/12,563.84 = 3,379/x
  3. Step 3: Cross multiply
    8,376.30x = 12,563.84 × 3,379
  4. Step 4: Simplify right side
    8,376.30x = 42,453,215.36
  5. Step 5: Solve for x
    x = 42,453,215.36/8,376.30
  6. Step 6: Final answer
    x = 5,068.25

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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.