Home / 5,156.72-7,734.36-2,078

Finding the Fourth Proportional to 5,156.72, 7,734.36 and 2,078

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Solution

The fourth proportional to 5,156.72, 7,734.36 and 2,078 is: 3,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.72 : 7,734.36 = 2,078 : x
  2. Step 2: Convert to fraction form
    5,156.72/7,734.36 = 2,078/x
  3. Step 3: Cross multiply
    5,156.72x = 7,734.36 × 2,078
  4. Step 4: Simplify right side
    5,156.72x = 16,072,000.08
  5. Step 5: Solve for x
    x = 16,072,000.08/5,156.72
  6. Step 6: Final answer
    x = 3,116.71

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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.