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Finding the Fourth Proportional to 14,789.60, 20,406.96 and 8,821.60

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Solution

The fourth proportional to 14,789.60, 20,406.96 and 8,821.60 is: 12,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,789.60 : 20,406.96 = 8,821.60 : x
  2. Step 2: Convert to fraction form
    14,789.60/20,406.96 = 8,821.60/x
  3. Step 3: Cross multiply
    14,789.60x = 20,406.96 × 8,821.60
  4. Step 4: Simplify right side
    14,789.60x = 180,022,038.34
  5. Step 5: Solve for x
    x = 180,022,038.34/14,789.60
  6. Step 6: Final answer
    x = 12,172.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.