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Finding the Fourth Proportional to 7,112.96, 9,816 and 3,969.20

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Solution

The fourth proportional to 7,112.96, 9,816 and 3,969.20 is: 5,477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.96 : 9,816 = 3,969.20 : x
  2. Step 2: Convert to fraction form
    7,112.96/9,816 = 3,969.20/x
  3. Step 3: Cross multiply
    7,112.96x = 9,816 × 3,969.20
  4. Step 4: Simplify right side
    7,112.96x = 38,961,667.20
  5. Step 5: Solve for x
    x = 38,961,667.20/7,112.96
  6. Step 6: Final answer
    x = 5,477.56

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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.