Home / 5,186-7,156.76-2,828.20

Finding the Fourth Proportional to 5,186, 7,156.76 and 2,828.20

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Solution

The fourth proportional to 5,186, 7,156.76 and 2,828.20 is: 3,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186 : 7,156.76 = 2,828.20 : x
  2. Step 2: Convert to fraction form
    5,186/7,156.76 = 2,828.20/x
  3. Step 3: Cross multiply
    5,186x = 7,156.76 × 2,828.20
  4. Step 4: Simplify right side
    5,186x = 20,240,748.63
  5. Step 5: Solve for x
    x = 20,240,748.63/5,186
  6. Step 6: Final answer
    x = 3,902.96

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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.