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Finding the Fourth Proportional to 10,977, 16,465.50 and 3,185.88

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Solution

The fourth proportional to 10,977, 16,465.50 and 3,185.88 is: 4,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977 : 16,465.50 = 3,185.88 : x
  2. Step 2: Convert to fraction form
    10,977/16,465.50 = 3,185.88/x
  3. Step 3: Cross multiply
    10,977x = 16,465.50 × 3,185.88
  4. Step 4: Simplify right side
    10,977x = 52,457,107.14
  5. Step 5: Solve for x
    x = 52,457,107.14/10,977
  6. Step 6: Final answer
    x = 4,778.82

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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.