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Finding the Fourth Proportional to 3,186.50, 4,780.29 and 994.79

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Solution

The fourth proportional to 3,186.50, 4,780.29 and 994.79 is: 1,492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.50 : 4,780.29 = 994.79 : x
  2. Step 2: Convert to fraction form
    3,186.50/4,780.29 = 994.79/x
  3. Step 3: Cross multiply
    3,186.50x = 4,780.29 × 994.79
  4. Step 4: Simplify right side
    3,186.50x = 4,755,384.69
  5. Step 5: Solve for x
    x = 4,755,384.69/3,186.50
  6. Step 6: Final answer
    x = 1,492.35

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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.