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Finding the Fourth Proportional to 4,785, 7,143.82 and 4,091.92

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Solution

The fourth proportional to 4,785, 7,143.82 and 4,091.92 is: 6,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785 : 7,143.82 = 4,091.92 : x
  2. Step 2: Convert to fraction form
    4,785/7,143.82 = 4,091.92/x
  3. Step 3: Cross multiply
    4,785x = 7,143.82 × 4,091.92
  4. Step 4: Simplify right side
    4,785x = 29,231,939.93
  5. Step 5: Solve for x
    x = 29,231,939.93/4,785
  6. Step 6: Final answer
    x = 6,109.08

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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.