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Finding the Fourth Proportional to 1,941.94, 2,912.91 and 787.72

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Solution

The fourth proportional to 1,941.94, 2,912.91 and 787.72 is: 1,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.94 : 2,912.91 = 787.72 : x
  2. Step 2: Convert to fraction form
    1,941.94/2,912.91 = 787.72/x
  3. Step 3: Cross multiply
    1,941.94x = 2,912.91 × 787.72
  4. Step 4: Simplify right side
    1,941.94x = 2,294,557.47
  5. Step 5: Solve for x
    x = 2,294,557.47/1,941.94
  6. Step 6: Final answer
    x = 1,181.58

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1.5x scale

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.