Home / 6,895-9,516.72-4,102.12

Finding the Fourth Proportional to 6,895, 9,516.72 and 4,102.12

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Solution

The fourth proportional to 6,895, 9,516.72 and 4,102.12 is: 5,661.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895 : 9,516.72 = 4,102.12 : x
  2. Step 2: Convert to fraction form
    6,895/9,516.72 = 4,102.12/x
  3. Step 3: Cross multiply
    6,895x = 9,516.72 × 4,102.12
  4. Step 4: Simplify right side
    6,895x = 39,038,727.45
  5. Step 5: Solve for x
    x = 39,038,727.45/6,895
  6. Step 6: Final answer
    x = 5,661.89

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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.