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Finding the Fourth Proportional to 5,755.84, 8,628.15 and 1,857.58

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Solution

The fourth proportional to 5,755.84, 8,628.15 and 1,857.58 is: 2,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.84 : 8,628.15 = 1,857.58 : x
  2. Step 2: Convert to fraction form
    5,755.84/8,628.15 = 1,857.58/x
  3. Step 3: Cross multiply
    5,755.84x = 8,628.15 × 1,857.58
  4. Step 4: Simplify right side
    5,755.84x = 16,027,478.88
  5. Step 5: Solve for x
    x = 16,027,478.88/5,755.84
  6. Step 6: Final answer
    x = 2,784.56

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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.