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Finding the Fourth Proportional to 2,636.30, 3,954.66 and 787.38

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Solution

The fourth proportional to 2,636.30, 3,954.66 and 787.38 is: 1,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.30 : 3,954.66 = 787.38 : x
  2. Step 2: Convert to fraction form
    2,636.30/3,954.66 = 787.38/x
  3. Step 3: Cross multiply
    2,636.30x = 3,954.66 × 787.38
  4. Step 4: Simplify right side
    2,636.30x = 3,113,820.19
  5. Step 5: Solve for x
    x = 3,113,820.19/2,636.30
  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.