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Finding the Fourth Proportional to 8,692.66, 13,035.71 and 3,144.63

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Solution

The fourth proportional to 8,692.66, 13,035.71 and 3,144.63 is: 4,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.66 : 13,035.71 = 3,144.63 : x
  2. Step 2: Convert to fraction form
    8,692.66/13,035.71 = 3,144.63/x
  3. Step 3: Cross multiply
    8,692.66x = 13,035.71 × 3,144.63
  4. Step 4: Simplify right side
    8,692.66x = 40,992,492.60
  5. Step 5: Solve for x
    x = 40,992,492.60/8,692.66
  6. Step 6: Final answer
    x = 4,715.76

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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.