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Finding the Fourth Proportional to 8,671.40, 13,005.78 and 2,828

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Solution

The fourth proportional to 8,671.40, 13,005.78 and 2,828 is: 4,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.40 : 13,005.78 = 2,828 : x
  2. Step 2: Convert to fraction form
    8,671.40/13,005.78 = 2,828/x
  3. Step 3: Cross multiply
    8,671.40x = 13,005.78 × 2,828
  4. Step 4: Simplify right side
    8,671.40x = 36,780,345.84
  5. Step 5: Solve for x
    x = 36,780,345.84/8,671.40
  6. Step 6: Final answer
    x = 4,241.57

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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.