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Finding the Fourth Proportional to 1,943.31, 2,913.89 and 787.71

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Solution

The fourth proportional to 1,943.31, 2,913.89 and 787.71 is: 1,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.31 : 2,913.89 = 787.71 : x
  2. Step 2: Convert to fraction form
    1,943.31/2,913.89 = 787.71/x
  3. Step 3: Cross multiply
    1,943.31x = 2,913.89 × 787.71
  4. Step 4: Simplify right side
    1,943.31x = 2,295,296.35
  5. Step 5: Solve for x
    x = 2,295,296.35/1,943.31
  6. Step 6: Final answer
    x = 1,181.13

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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.