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Finding the Fourth Proportional to 12,028.50, 16,599.33 and 7,311.87

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Solution

The fourth proportional to 12,028.50, 16,599.33 and 7,311.87 is: 10,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,028.50 : 16,599.33 = 7,311.87 : x
  2. Step 2: Convert to fraction form
    12,028.50/16,599.33 = 7,311.87/x
  3. Step 3: Cross multiply
    12,028.50x = 16,599.33 × 7,311.87
  4. Step 4: Simplify right side
    12,028.50x = 121,372,143.05
  5. Step 5: Solve for x
    x = 121,372,143.05/12,028.50
  6. Step 6: Final answer
    x = 10,090.38

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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.