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Finding the Fourth Proportional to 2,692.90, 4,038.67 and 961.12

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Solution

The fourth proportional to 2,692.90, 4,038.67 and 961.12 is: 1,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.90 : 4,038.67 = 961.12 : x
  2. Step 2: Convert to fraction form
    2,692.90/4,038.67 = 961.12/x
  3. Step 3: Cross multiply
    2,692.90x = 4,038.67 × 961.12
  4. Step 4: Simplify right side
    2,692.90x = 3,881,646.51
  5. Step 5: Solve for x
    x = 3,881,646.51/2,692.90
  6. Step 6: Final answer
    x = 1,441.44

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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.