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Finding the Fourth Proportional to 2,874.62, 4,313.64 and 2,692.40

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Solution

The fourth proportional to 2,874.62, 4,313.64 and 2,692.40 is: 4,040.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.62 : 4,313.64 = 2,692.40 : x
  2. Step 2: Convert to fraction form
    2,874.62/4,313.64 = 2,692.40/x
  3. Step 3: Cross multiply
    2,874.62x = 4,313.64 × 2,692.40
  4. Step 4: Simplify right side
    2,874.62x = 11,614,044.34
  5. Step 5: Solve for x
    x = 11,614,044.34/2,874.62
  6. Step 6: Final answer
    x = 4,040.20

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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.