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Finding the Fourth Proportional to 13,892.16, 20,824.80 and 6,945.60

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Solution

The fourth proportional to 13,892.16, 20,824.80 and 6,945.60 is: 10,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.16 : 20,824.80 = 6,945.60 : x
  2. Step 2: Convert to fraction form
    13,892.16/20,824.80 = 6,945.60/x
  3. Step 3: Cross multiply
    13,892.16x = 20,824.80 × 6,945.60
  4. Step 4: Simplify right side
    13,892.16x = 144,640,730.88
  5. Step 5: Solve for x
    x = 144,640,730.88/13,892.16
  6. Step 6: Final answer
    x = 10,411.68

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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.