Home / 6,527-9,790.86-1,910.36

Finding the Fourth Proportional to 6,527, 9,790.86 and 1,910.36

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Solution

The fourth proportional to 6,527, 9,790.86 and 1,910.36 is: 2,865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527 : 9,790.86 = 1,910.36 : x
  2. Step 2: Convert to fraction form
    6,527/9,790.86 = 1,910.36/x
  3. Step 3: Cross multiply
    6,527x = 9,790.86 × 1,910.36
  4. Step 4: Simplify right side
    6,527x = 18,704,067.31
  5. Step 5: Solve for x
    x = 18,704,067.31/6,527
  6. Step 6: Final answer
    x = 2,865.65

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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.