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Finding the Fourth Proportional to 20,480.40, 30,720.98 and 6,440.16

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Solution

The fourth proportional to 20,480.40, 30,720.98 and 6,440.16 is: 9,660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,480.40 : 30,720.98 = 6,440.16 : x
  2. Step 2: Convert to fraction form
    20,480.40/30,720.98 = 6,440.16/x
  3. Step 3: Cross multiply
    20,480.40x = 30,720.98 × 6,440.16
  4. Step 4: Simplify right side
    20,480.40x = 197,848,026.56
  5. Step 5: Solve for x
    x = 197,848,026.56/20,480.40
  6. Step 6: Final answer
    x = 9,660.36

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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.