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Finding the Fourth Proportional to 8,671.36, 13,006.65 and 2,828.02

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Solution

The fourth proportional to 8,671.36, 13,006.65 and 2,828.02 is: 4,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.36 : 13,006.65 = 2,828.02 : x
  2. Step 2: Convert to fraction form
    8,671.36/13,006.65 = 2,828.02/x
  3. Step 3: Cross multiply
    8,671.36x = 13,006.65 × 2,828.02
  4. Step 4: Simplify right side
    8,671.36x = 36,783,066.33
  5. Step 5: Solve for x
    x = 36,783,066.33/8,671.36
  6. Step 6: Final answer
    x = 4,241.90

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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.