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Finding the Fourth Proportional to 5,671.63, 8,509.89 and 1,971.85

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Solution

The fourth proportional to 5,671.63, 8,509.89 and 1,971.85 is: 2,958.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.63 : 8,509.89 = 1,971.85 : x
  2. Step 2: Convert to fraction form
    5,671.63/8,509.89 = 1,971.85/x
  3. Step 3: Cross multiply
    5,671.63x = 8,509.89 × 1,971.85
  4. Step 4: Simplify right side
    5,671.63x = 16,780,174.19
  5. Step 5: Solve for x
    x = 16,780,174.19/5,671.63
  6. Step 6: Final answer
    x = 2,958.62

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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.