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Finding the Fourth Proportional to 3,096.26, 4,644.38 and 787.76

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Solution

The fourth proportional to 3,096.26, 4,644.38 and 787.76 is: 1,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.26 : 4,644.38 = 787.76 : x
  2. Step 2: Convert to fraction form
    3,096.26/4,644.38 = 787.76/x
  3. Step 3: Cross multiply
    3,096.26x = 4,644.38 × 787.76
  4. Step 4: Simplify right side
    3,096.26x = 3,658,656.79
  5. Step 5: Solve for x
    x = 3,658,656.79/3,096.26
  6. Step 6: Final answer
    x = 1,181.64

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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.