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Finding the Fourth Proportional to 7,713.29, 10,644.41 and 4,176.57

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Solution

The fourth proportional to 7,713.29, 10,644.41 and 4,176.57 is: 5,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.29 : 10,644.41 = 4,176.57 : x
  2. Step 2: Convert to fraction form
    7,713.29/10,644.41 = 4,176.57/x
  3. Step 3: Cross multiply
    7,713.29x = 10,644.41 × 4,176.57
  4. Step 4: Simplify right side
    7,713.29x = 44,457,102.59
  5. Step 5: Solve for x
    x = 44,457,102.59/7,713.29
  6. Step 6: Final answer
    x = 5,763.71

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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.