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Finding the Fourth Proportional to 5,114, 7,057.36 and 2,906

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Solution

The fourth proportional to 5,114, 7,057.36 and 2,906 is: 4,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114 : 7,057.36 = 2,906 : x
  2. Step 2: Convert to fraction form
    5,114/7,057.36 = 2,906/x
  3. Step 3: Cross multiply
    5,114x = 7,057.36 × 2,906
  4. Step 4: Simplify right side
    5,114x = 20,508,688.16
  5. Step 5: Solve for x
    x = 20,508,688.16/5,114
  6. Step 6: Final answer
    x = 4,010.30

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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.