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Finding the Fourth Proportional to 8,674.19, 13,018.65 and 3,412.88

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Solution

The fourth proportional to 8,674.19, 13,018.65 and 3,412.88 is: 5,122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.19 : 13,018.65 = 3,412.88 : x
  2. Step 2: Convert to fraction form
    8,674.19/13,018.65 = 3,412.88/x
  3. Step 3: Cross multiply
    8,674.19x = 13,018.65 × 3,412.88
  4. Step 4: Simplify right side
    8,674.19x = 44,431,025.12
  5. Step 5: Solve for x
    x = 44,431,025.12/8,674.19
  6. Step 6: Final answer
    x = 5,122.21

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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.