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Finding the Fourth Proportional to 7,141.91, 10,716.91 and 3,854.93

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Solution

The fourth proportional to 7,141.91, 10,716.91 and 3,854.93 is: 5,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.91 : 10,716.91 = 3,854.93 : x
  2. Step 2: Convert to fraction form
    7,141.91/10,716.91 = 3,854.93/x
  3. Step 3: Cross multiply
    7,141.91x = 10,716.91 × 3,854.93
  4. Step 4: Simplify right side
    7,141.91x = 41,312,865.01
  5. Step 5: Solve for x
    x = 41,312,865.01/7,141.91
  6. Step 6: Final answer
    x = 5,784.57

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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.