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Finding the Fourth Proportional to 7,774.20, 10,728.90 and 4,629.96

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Solution

The fourth proportional to 7,774.20, 10,728.90 and 4,629.96 is: 6,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.20 : 10,728.90 = 4,629.96 : x
  2. Step 2: Convert to fraction form
    7,774.20/10,728.90 = 4,629.96/x
  3. Step 3: Cross multiply
    7,774.20x = 10,728.90 × 4,629.96
  4. Step 4: Simplify right side
    7,774.20x = 49,674,377.84
  5. Step 5: Solve for x
    x = 49,674,377.84/7,774.20
  6. Step 6: Final answer
    x = 6,389.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.