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Finding the Fourth Proportional to 2,538, 3,807.07 and 806.63

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Solution

The fourth proportional to 2,538, 3,807.07 and 806.63 is: 1,209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538 : 3,807.07 = 806.63 : x
  2. Step 2: Convert to fraction form
    2,538/3,807.07 = 806.63/x
  3. Step 3: Cross multiply
    2,538x = 3,807.07 × 806.63
  4. Step 4: Simplify right side
    2,538x = 3,070,875.82
  5. Step 5: Solve for x
    x = 3,070,875.82/2,538
  6. Step 6: Final answer
    x = 1,209.96

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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.