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Finding the Fourth Proportional to 5,677.16, 8,515.73 and 1,728.41

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Solution

The fourth proportional to 5,677.16, 8,515.73 and 1,728.41 is: 2,592.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.16 : 8,515.73 = 1,728.41 : x
  2. Step 2: Convert to fraction form
    5,677.16/8,515.73 = 1,728.41/x
  3. Step 3: Cross multiply
    5,677.16x = 8,515.73 × 1,728.41
  4. Step 4: Simplify right side
    5,677.16x = 14,718,634.63
  5. Step 5: Solve for x
    x = 14,718,634.63/5,677.16
  6. Step 6: Final answer
    x = 2,592.61

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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.