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Finding the Fourth Proportional to 12,143.22, 16,745.76 and 7,892.70

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Solution

The fourth proportional to 12,143.22, 16,745.76 and 7,892.70 is: 10,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.22 : 16,745.76 = 7,892.70 : x
  2. Step 2: Convert to fraction form
    12,143.22/16,745.76 = 7,892.70/x
  3. Step 3: Cross multiply
    12,143.22x = 16,745.76 × 7,892.70
  4. Step 4: Simplify right side
    12,143.22x = 132,169,259.95
  5. Step 5: Solve for x
    x = 132,169,259.95/12,143.22
  6. Step 6: Final answer
    x = 10,884.20

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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.