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Finding the Fourth Proportional to 13,354.86, 20,025.63 and 7,809.60

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Solution

The fourth proportional to 13,354.86, 20,025.63 and 7,809.60 is: 11,710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.86 : 20,025.63 = 7,809.60 : x
  2. Step 2: Convert to fraction form
    13,354.86/20,025.63 = 7,809.60/x
  3. Step 3: Cross multiply
    13,354.86x = 20,025.63 × 7,809.60
  4. Step 4: Simplify right side
    13,354.86x = 156,392,160.05
  5. Step 5: Solve for x
    x = 156,392,160.05/13,354.86
  6. Step 6: Final answer
    x = 11,710.51

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1.5x scale

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.