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Finding the Fourth Proportional to 14,960.64, 20,649.60 and 10,243.20

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Solution

The fourth proportional to 14,960.64, 20,649.60 and 10,243.20 is: 14,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,960.64 : 20,649.60 = 10,243.20 : x
  2. Step 2: Convert to fraction form
    14,960.64/20,649.60 = 10,243.20/x
  3. Step 3: Cross multiply
    14,960.64x = 20,649.60 × 10,243.20
  4. Step 4: Simplify right side
    14,960.64x = 211,517,982.72
  5. Step 5: Solve for x
    x = 211,517,982.72/14,960.64
  6. Step 6: Final answer
    x = 14,138.30

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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.