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Finding the Fourth Proportional to 8,692.60, 13,035.70 and 2,849.40

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Solution

The fourth proportional to 8,692.60, 13,035.70 and 2,849.40 is: 4,273.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.60 : 13,035.70 = 2,849.40 : x
  2. Step 2: Convert to fraction form
    8,692.60/13,035.70 = 2,849.40/x
  3. Step 3: Cross multiply
    8,692.60x = 13,035.70 × 2,849.40
  4. Step 4: Simplify right side
    8,692.60x = 37,143,923.58
  5. Step 5: Solve for x
    x = 37,143,923.58/8,692.60
  6. Step 6: Final answer
    x = 4,273.05

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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.