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Finding the Fourth Proportional to 12,149.67, 16,766.64 and 7,116.87

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Solution

The fourth proportional to 12,149.67, 16,766.64 and 7,116.87 is: 9,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.67 : 16,766.64 = 7,116.87 : x
  2. Step 2: Convert to fraction form
    12,149.67/16,766.64 = 7,116.87/x
  3. Step 3: Cross multiply
    12,149.67x = 16,766.64 × 7,116.87
  4. Step 4: Simplify right side
    12,149.67x = 119,325,997.22
  5. Step 5: Solve for x
    x = 119,325,997.22/12,149.67
  6. Step 6: Final answer
    x = 9,821.34

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1.5x scale

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.