Home / 5,187.16-7,776.42-2,107

Finding the Fourth Proportional to 5,187.16, 7,776.42 and 2,107

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Solution

The fourth proportional to 5,187.16, 7,776.42 and 2,107 is: 3,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.16 : 7,776.42 = 2,107 : x
  2. Step 2: Convert to fraction form
    5,187.16/7,776.42 = 2,107/x
  3. Step 3: Cross multiply
    5,187.16x = 7,776.42 × 2,107
  4. Step 4: Simplify right side
    5,187.16x = 16,384,916.94
  5. Step 5: Solve for x
    x = 16,384,916.94/5,187.16
  6. Step 6: Final answer
    x = 3,158.75

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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.