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Finding the Fourth Proportional to 19,241.28, 28,853.28 and 8,856

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Solution

The fourth proportional to 19,241.28, 28,853.28 and 8,856 is: 13,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,241.28 : 28,853.28 = 8,856 : x
  2. Step 2: Convert to fraction form
    19,241.28/28,853.28 = 8,856/x
  3. Step 3: Cross multiply
    19,241.28x = 28,853.28 × 8,856
  4. Step 4: Simplify right side
    19,241.28x = 255,524,647.68
  5. Step 5: Solve for x
    x = 255,524,647.68/19,241.28
  6. Step 6: Final answer
    x = 13,280.02

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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.