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Finding the Fourth Proportional to 36,578.40, 54,867.60 and 13,205.60

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Solution

The fourth proportional to 36,578.40, 54,867.60 and 13,205.60 is: 19,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,578.40 : 54,867.60 = 13,205.60 : x
  2. Step 2: Convert to fraction form
    36,578.40/54,867.60 = 13,205.60/x
  3. Step 3: Cross multiply
    36,578.40x = 54,867.60 × 13,205.60
  4. Step 4: Simplify right side
    36,578.40x = 724,559,578.56
  5. Step 5: Solve for x
    x = 724,559,578.56/36,578.40
  6. Step 6: Final answer
    x = 19,808.40

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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.