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Finding the Fourth Proportional to 12,753.63, 19,131.52 and 3,519.63

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Solution

The fourth proportional to 12,753.63, 19,131.52 and 3,519.63 is: 5,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753.63 : 19,131.52 = 3,519.63 : x
  2. Step 2: Convert to fraction form
    12,753.63/19,131.52 = 3,519.63/x
  3. Step 3: Cross multiply
    12,753.63x = 19,131.52 × 3,519.63
  4. Step 4: Simplify right side
    12,753.63x = 67,335,871.74
  5. Step 5: Solve for x
    x = 67,335,871.74/12,753.63
  6. Step 6: Final answer
    x = 5,279.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.