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Finding the Fourth Proportional to 3,671.12, 5,068.12 and 2,829.98

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Solution

The fourth proportional to 3,671.12, 5,068.12 and 2,829.98 is: 3,906.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.12 : 5,068.12 = 2,829.98 : x
  2. Step 2: Convert to fraction form
    3,671.12/5,068.12 = 2,829.98/x
  3. Step 3: Cross multiply
    3,671.12x = 5,068.12 × 2,829.98
  4. Step 4: Simplify right side
    3,671.12x = 14,342,678.24
  5. Step 5: Solve for x
    x = 14,342,678.24/3,671.12
  6. Step 6: Final answer
    x = 3,906.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.