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Finding the Fourth Proportional to 2,775.54, 3,830.20 and 1,516.58

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Solution

The fourth proportional to 2,775.54, 3,830.20 and 1,516.58 is: 2,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.54 : 3,830.20 = 1,516.58 : x
  2. Step 2: Convert to fraction form
    2,775.54/3,830.20 = 1,516.58/x
  3. Step 3: Cross multiply
    2,775.54x = 3,830.20 × 1,516.58
  4. Step 4: Simplify right side
    2,775.54x = 5,808,804.72
  5. Step 5: Solve for x
    x = 5,808,804.72/2,775.54
  6. Step 6: Final answer
    x = 2,092.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.