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Finding the Fourth Proportional to 5,176.20, 7,764.30 and 4,009.80

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Solution

The fourth proportional to 5,176.20, 7,764.30 and 4,009.80 is: 6,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.20 : 7,764.30 = 4,009.80 : x
  2. Step 2: Convert to fraction form
    5,176.20/7,764.30 = 4,009.80/x
  3. Step 3: Cross multiply
    5,176.20x = 7,764.30 × 4,009.80
  4. Step 4: Simplify right side
    5,176.20x = 31,133,290.14
  5. Step 5: Solve for x
    x = 31,133,290.14/5,176.20
  6. Step 6: Final answer
    x = 6,014.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.