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Finding the Fourth Proportional to 8,671.84, 13,008.48 and 2,828.32

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Solution

The fourth proportional to 8,671.84, 13,008.48 and 2,828.32 is: 4,242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.84 : 13,008.48 = 2,828.32 : x
  2. Step 2: Convert to fraction form
    8,671.84/13,008.48 = 2,828.32/x
  3. Step 3: Cross multiply
    8,671.84x = 13,008.48 × 2,828.32
  4. Step 4: Simplify right side
    8,671.84x = 36,792,144.15
  5. Step 5: Solve for x
    x = 36,792,144.15/8,671.84
  6. Step 6: Final answer
    x = 4,242.71

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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.