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Finding the Fourth Proportional to 5,369.40, 8,037.90 and 4,786.20

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Solution

The fourth proportional to 5,369.40, 8,037.90 and 4,786.20 is: 7,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.40 : 8,037.90 = 4,786.20 : x
  2. Step 2: Convert to fraction form
    5,369.40/8,037.90 = 4,786.20/x
  3. Step 3: Cross multiply
    5,369.40x = 8,037.90 × 4,786.20
  4. Step 4: Simplify right side
    5,369.40x = 38,470,996.98
  5. Step 5: Solve for x
    x = 38,470,996.98/5,369.40
  6. Step 6: Final answer
    x = 7,164.86

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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.