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Finding the Fourth Proportional to 4,911.44, 7,363.92 and 1,986.32

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Solution

The fourth proportional to 4,911.44, 7,363.92 and 1,986.32 is: 2,978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.44 : 7,363.92 = 1,986.32 : x
  2. Step 2: Convert to fraction form
    4,911.44/7,363.92 = 1,986.32/x
  3. Step 3: Cross multiply
    4,911.44x = 7,363.92 × 1,986.32
  4. Step 4: Simplify right side
    4,911.44x = 14,627,101.57
  5. Step 5: Solve for x
    x = 14,627,101.57/4,911.44
  6. Step 6: Final answer
    x = 2,978.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.