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Finding the Fourth Proportional to 1,913.44, 2,850.93 and 1,787.71

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Solution

The fourth proportional to 1,913.44, 2,850.93 and 1,787.71 is: 2,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.44 : 2,850.93 = 1,787.71 : x
  2. Step 2: Convert to fraction form
    1,913.44/2,850.93 = 1,787.71/x
  3. Step 3: Cross multiply
    1,913.44x = 2,850.93 × 1,787.71
  4. Step 4: Simplify right side
    1,913.44x = 5,096,636.07
  5. Step 5: Solve for x
    x = 5,096,636.07/1,913.44
  6. Step 6: Final answer
    x = 2,663.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.