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Finding the Fourth Proportional to 2,636.67, 3,955.65 and 787.75

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Solution

The fourth proportional to 2,636.67, 3,955.65 and 787.75 is: 1,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.67 : 3,955.65 = 787.75 : x
  2. Step 2: Convert to fraction form
    2,636.67/3,955.65 = 787.75/x
  3. Step 3: Cross multiply
    2,636.67x = 3,955.65 × 787.75
  4. Step 4: Simplify right side
    2,636.67x = 3,116,063.29
  5. Step 5: Solve for x
    x = 3,116,063.29/2,636.67
  6. Step 6: Final answer
    x = 1,181.82

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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.