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Finding the Fourth Proportional to 2,692.84, 3,715.86 and 1,645.96

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Solution

The fourth proportional to 2,692.84, 3,715.86 and 1,645.96 is: 2,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.84 : 3,715.86 = 1,645.96 : x
  2. Step 2: Convert to fraction form
    2,692.84/3,715.86 = 1,645.96/x
  3. Step 3: Cross multiply
    2,692.84x = 3,715.86 × 1,645.96
  4. Step 4: Simplify right side
    2,692.84x = 6,116,156.93
  5. Step 5: Solve for x
    x = 6,116,156.93/2,692.84
  6. Step 6: Final answer
    x = 2,271.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.