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Finding the Fourth Proportional to 11,371, 15,692.10 and 6,403

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Solution

The fourth proportional to 11,371, 15,692.10 and 6,403 is: 8,836.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,371 : 15,692.10 = 6,403 : x
  2. Step 2: Convert to fraction form
    11,371/15,692.10 = 6,403/x
  3. Step 3: Cross multiply
    11,371x = 15,692.10 × 6,403
  4. Step 4: Simplify right side
    11,371x = 100,476,516.30
  5. Step 5: Solve for x
    x = 100,476,516.30/11,371
  6. Step 6: Final answer
    x = 8,836.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.