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Finding the Fourth Proportional to 4,878.60, 7,313.46 and 1,757.88

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Solution

The fourth proportional to 4,878.60, 7,313.46 and 1,757.88 is: 2,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.60 : 7,313.46 = 1,757.88 : x
  2. Step 2: Convert to fraction form
    4,878.60/7,313.46 = 1,757.88/x
  3. Step 3: Cross multiply
    4,878.60x = 7,313.46 × 1,757.88
  4. Step 4: Simplify right side
    4,878.60x = 12,856,185.06
  5. Step 5: Solve for x
    x = 12,856,185.06/4,878.60
  6. Step 6: Final answer
    x = 2,635.22

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Why These Related Problems?

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