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Finding the Fourth Proportional to 5,186.36, 7,156.96 and 2,828.36

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Solution

The fourth proportional to 5,186.36, 7,156.96 and 2,828.36 is: 3,903.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.36 : 7,156.96 = 2,828.36 : x
  2. Step 2: Convert to fraction form
    5,186.36/7,156.96 = 2,828.36/x
  3. Step 3: Cross multiply
    5,186.36x = 7,156.96 × 2,828.36
  4. Step 4: Simplify right side
    5,186.36x = 20,242,459.39
  5. Step 5: Solve for x
    x = 20,242,459.39/5,186.36
  6. Step 6: Final answer
    x = 3,903.02

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1.5x scale

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.