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Finding the Fourth Proportional to 4,516.76, 6,775.14 and 1,917.88

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Solution

The fourth proportional to 4,516.76, 6,775.14 and 1,917.88 is: 2,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.76 : 6,775.14 = 1,917.88 : x
  2. Step 2: Convert to fraction form
    4,516.76/6,775.14 = 1,917.88/x
  3. Step 3: Cross multiply
    4,516.76x = 6,775.14 × 1,917.88
  4. Step 4: Simplify right side
    4,516.76x = 12,993,905.50
  5. Step 5: Solve for x
    x = 12,993,905.50/4,516.76
  6. Step 6: Final answer
    x = 2,876.82

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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.