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Finding the Fourth Proportional to 8,262.80, 12,396 and 4,105.04

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Solution

The fourth proportional to 8,262.80, 12,396 and 4,105.04 is: 6,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.80 : 12,396 = 4,105.04 : x
  2. Step 2: Convert to fraction form
    8,262.80/12,396 = 4,105.04/x
  3. Step 3: Cross multiply
    8,262.80x = 12,396 × 4,105.04
  4. Step 4: Simplify right side
    8,262.80x = 50,886,075.84
  5. Step 5: Solve for x
    x = 50,886,075.84/8,262.80
  6. Step 6: Final answer
    x = 6,158.45

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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.