Home / 7,826.28-11,740.06-3,209.32

Finding the Fourth Proportional to 7,826.28, 11,740.06 and 3,209.32

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Solution

The fourth proportional to 7,826.28, 11,740.06 and 3,209.32 is: 4,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.28 : 11,740.06 = 3,209.32 : x
  2. Step 2: Convert to fraction form
    7,826.28/11,740.06 = 3,209.32/x
  3. Step 3: Cross multiply
    7,826.28x = 11,740.06 × 3,209.32
  4. Step 4: Simplify right side
    7,826.28x = 37,677,609.36
  5. Step 5: Solve for x
    x = 37,677,609.36/7,826.28
  6. Step 6: Final answer
    x = 4,814.24

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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.