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Finding the Fourth Proportional to 3,975.92, 5,486.28 and 2,207.28

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Solution

The fourth proportional to 3,975.92, 5,486.28 and 2,207.28 is: 3,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.92 : 5,486.28 = 2,207.28 : x
  2. Step 2: Convert to fraction form
    3,975.92/5,486.28 = 2,207.28/x
  3. Step 3: Cross multiply
    3,975.92x = 5,486.28 × 2,207.28
  4. Step 4: Simplify right side
    3,975.92x = 12,109,756.12
  5. Step 5: Solve for x
    x = 12,109,756.12/3,975.92
  6. Step 6: Final answer
    x = 3,045.77

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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.