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Finding the Fourth Proportional to 10,646.80, 14,692.80 and 6,172

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Solution

The fourth proportional to 10,646.80, 14,692.80 and 6,172 is: 8,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.80 : 14,692.80 = 6,172 : x
  2. Step 2: Convert to fraction form
    10,646.80/14,692.80 = 6,172/x
  3. Step 3: Cross multiply
    10,646.80x = 14,692.80 × 6,172
  4. Step 4: Simplify right side
    10,646.80x = 90,683,961.60
  5. Step 5: Solve for x
    x = 90,683,961.60/10,646.80
  6. Step 6: Final answer
    x = 8,517.49

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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.