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Finding the Fourth Proportional to 7,112.76, 9,815.78 and 3,969.40

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Solution

The fourth proportional to 7,112.76, 9,815.78 and 3,969.40 is: 5,477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.76 : 9,815.78 = 3,969.40 : x
  2. Step 2: Convert to fraction form
    7,112.76/9,815.78 = 3,969.40/x
  3. Step 3: Cross multiply
    7,112.76x = 9,815.78 × 3,969.40
  4. Step 4: Simplify right side
    7,112.76x = 38,962,757.13
  5. Step 5: Solve for x
    x = 38,962,757.13/7,112.76
  6. Step 6: Final answer
    x = 5,477.87

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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.