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Finding the Fourth Proportional to 2,431.65, 3,647.82 and 787.67

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Solution

The fourth proportional to 2,431.65, 3,647.82 and 787.67 is: 1,181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.65 : 3,647.82 = 787.67 : x
  2. Step 2: Convert to fraction form
    2,431.65/3,647.82 = 787.67/x
  3. Step 3: Cross multiply
    2,431.65x = 3,647.82 × 787.67
  4. Step 4: Simplify right side
    2,431.65x = 2,873,267.29
  5. Step 5: Solve for x
    x = 2,873,267.29/2,431.65
  6. Step 6: Final answer
    x = 1,181.61

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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.