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Finding the Fourth Proportional to 7,639.03, 11,406.56 and 6,742.09

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Solution

The fourth proportional to 7,639.03, 11,406.56 and 6,742.09 is: 10,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.03 : 11,406.56 = 6,742.09 : x
  2. Step 2: Convert to fraction form
    7,639.03/11,406.56 = 6,742.09/x
  3. Step 3: Cross multiply
    7,639.03x = 11,406.56 × 6,742.09
  4. Step 4: Simplify right side
    7,639.03x = 76,904,054.11
  5. Step 5: Solve for x
    x = 76,904,054.11/7,639.03
  6. Step 6: Final answer
    x = 10,067.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.