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Finding the Fourth Proportional to 13,456.60, 20,176.80 and 6,895.60

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Solution

The fourth proportional to 13,456.60, 20,176.80 and 6,895.60 is: 10,339.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.60 : 20,176.80 = 6,895.60 : x
  2. Step 2: Convert to fraction form
    13,456.60/20,176.80 = 6,895.60/x
  3. Step 3: Cross multiply
    13,456.60x = 20,176.80 × 6,895.60
  4. Step 4: Simplify right side
    13,456.60x = 139,131,142.08
  5. Step 5: Solve for x
    x = 139,131,142.08/13,456.60
  6. Step 6: Final answer
    x = 10,339.25

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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.