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Finding the Fourth Proportional to 1,692.24, 2,537.70 and 814.18

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Solution

The fourth proportional to 1,692.24, 2,537.70 and 814.18 is: 1,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.24 : 2,537.70 = 814.18 : x
  2. Step 2: Convert to fraction form
    1,692.24/2,537.70 = 814.18/x
  3. Step 3: Cross multiply
    1,692.24x = 2,537.70 × 814.18
  4. Step 4: Simplify right side
    1,692.24x = 2,066,144.59
  5. Step 5: Solve for x
    x = 2,066,144.59/1,692.24
  6. Step 6: Final answer
    x = 1,220.95

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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.