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Finding the Fourth Proportional to 2,537.82, 3,805.87 and 977.70

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Solution

The fourth proportional to 2,537.82, 3,805.87 and 977.70 is: 1,466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.82 : 3,805.87 = 977.70 : x
  2. Step 2: Convert to fraction form
    2,537.82/3,805.87 = 977.70/x
  3. Step 3: Cross multiply
    2,537.82x = 3,805.87 × 977.70
  4. Step 4: Simplify right side
    2,537.82x = 3,720,986.05
  5. Step 5: Solve for x
    x = 3,720,986.05/2,537.82
  6. Step 6: Final answer
    x = 1,466.21

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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.