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Finding the Fourth Proportional to 8,692.11, 13,032.40 and 3,144.72

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Solution

The fourth proportional to 8,692.11, 13,032.40 and 3,144.72 is: 4,714.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.11 : 13,032.40 = 3,144.72 : x
  2. Step 2: Convert to fraction form
    8,692.11/13,032.40 = 3,144.72/x
  3. Step 3: Cross multiply
    8,692.11x = 13,032.40 × 3,144.72
  4. Step 4: Simplify right side
    8,692.11x = 40,983,248.93
  5. Step 5: Solve for x
    x = 40,983,248.93/8,692.11
  6. Step 6: Final answer
    x = 4,714.99

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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.