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Finding the Fourth Proportional to 12,853.76, 19,280.62 and 3,619.76

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Solution

The fourth proportional to 12,853.76, 19,280.62 and 3,619.76 is: 5,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.76 : 19,280.62 = 3,619.76 : x
  2. Step 2: Convert to fraction form
    12,853.76/19,280.62 = 3,619.76/x
  3. Step 3: Cross multiply
    12,853.76x = 19,280.62 × 3,619.76
  4. Step 4: Simplify right side
    12,853.76x = 69,791,217.05
  5. Step 5: Solve for x
    x = 69,791,217.05/12,853.76
  6. Step 6: Final answer
    x = 5,429.63

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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.