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Finding the Fourth Proportional to 7,107.22, 9,807.83 and 3,920.81

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Solution

The fourth proportional to 7,107.22, 9,807.83 and 3,920.81 is: 5,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.22 : 9,807.83 = 3,920.81 : x
  2. Step 2: Convert to fraction form
    7,107.22/9,807.83 = 3,920.81/x
  3. Step 3: Cross multiply
    7,107.22x = 9,807.83 × 3,920.81
  4. Step 4: Simplify right side
    7,107.22x = 38,454,637.94
  5. Step 5: Solve for x
    x = 38,454,637.94/7,107.22
  6. Step 6: Final answer
    x = 5,410.64

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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.