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Finding the Fourth Proportional to 12,309.52, 16,983.44 and 7,274.20

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Solution

The fourth proportional to 12,309.52, 16,983.44 and 7,274.20 is: 10,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.52 : 16,983.44 = 7,274.20 : x
  2. Step 2: Convert to fraction form
    12,309.52/16,983.44 = 7,274.20/x
  3. Step 3: Cross multiply
    12,309.52x = 16,983.44 × 7,274.20
  4. Step 4: Simplify right side
    12,309.52x = 123,540,939.25
  5. Step 5: Solve for x
    x = 123,540,939.25/12,309.52
  6. Step 6: Final answer
    x = 10,036.21

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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.