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Finding the Fourth Proportional to 18,847.84, 28,245 and 13,878.52

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Solution

The fourth proportional to 18,847.84, 28,245 and 13,878.52 is: 20,798.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,847.84 : 28,245 = 13,878.52 : x
  2. Step 2: Convert to fraction form
    18,847.84/28,245 = 13,878.52/x
  3. Step 3: Cross multiply
    18,847.84x = 28,245 × 13,878.52
  4. Step 4: Simplify right side
    18,847.84x = 391,998,797.40
  5. Step 5: Solve for x
    x = 391,998,797.40/18,847.84
  6. Step 6: Final answer
    x = 20,798.08

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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.