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Finding the Fourth Proportional to 5,402.09, 7,454.88 and 2,918.09

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Solution

The fourth proportional to 5,402.09, 7,454.88 and 2,918.09 is: 4,026.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.09 : 7,454.88 = 2,918.09 : x
  2. Step 2: Convert to fraction form
    5,402.09/7,454.88 = 2,918.09/x
  3. Step 3: Cross multiply
    5,402.09x = 7,454.88 × 2,918.09
  4. Step 4: Simplify right side
    5,402.09x = 21,753,982.01
  5. Step 5: Solve for x
    x = 21,753,982.01/5,402.09
  6. Step 6: Final answer
    x = 4,026.96

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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.