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Finding the Fourth Proportional to 2,775.74, 3,830.61 and 1,516.91

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Solution

The fourth proportional to 2,775.74, 3,830.61 and 1,516.91 is: 2,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.74 : 3,830.61 = 1,516.91 : x
  2. Step 2: Convert to fraction form
    2,775.74/3,830.61 = 1,516.91/x
  3. Step 3: Cross multiply
    2,775.74x = 3,830.61 × 1,516.91
  4. Step 4: Simplify right side
    2,775.74x = 5,810,671.46
  5. Step 5: Solve for x
    x = 5,810,671.46/2,775.74
  6. Step 6: Final answer
    x = 2,093.38

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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.