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Finding the Fourth Proportional to 12,761.88, 19,142.81 and 4,976.16

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Solution

The fourth proportional to 12,761.88, 19,142.81 and 4,976.16 is: 7,464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.88 : 19,142.81 = 4,976.16 : x
  2. Step 2: Convert to fraction form
    12,761.88/19,142.81 = 4,976.16/x
  3. Step 3: Cross multiply
    12,761.88x = 19,142.81 × 4,976.16
  4. Step 4: Simplify right side
    12,761.88x = 95,257,685.41
  5. Step 5: Solve for x
    x = 95,257,685.41/12,761.88
  6. Step 6: Final answer
    x = 7,464.24

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Similar ratio
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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.