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Finding the Fourth Proportional to 5,185.91, 7,786.13 and 4,950.78

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Solution

The fourth proportional to 5,185.91, 7,786.13 and 4,950.78 is: 7,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.91 : 7,786.13 = 4,950.78 : x
  2. Step 2: Convert to fraction form
    5,185.91/7,786.13 = 4,950.78/x
  3. Step 3: Cross multiply
    5,185.91x = 7,786.13 × 4,950.78
  4. Step 4: Simplify right side
    5,185.91x = 38,547,391.93
  5. Step 5: Solve for x
    x = 38,547,391.93/5,185.91
  6. Step 6: Final answer
    x = 7,433.11

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1.5x scale

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.