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Finding the Fourth Proportional to 20,588.64, 30,884.04 and 6,550.20

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Solution

The fourth proportional to 20,588.64, 30,884.04 and 6,550.20 is: 9,825.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,588.64 : 30,884.04 = 6,550.20 : x
  2. Step 2: Convert to fraction form
    20,588.64/30,884.04 = 6,550.20/x
  3. Step 3: Cross multiply
    20,588.64x = 30,884.04 × 6,550.20
  4. Step 4: Simplify right side
    20,588.64x = 202,296,638.81
  5. Step 5: Solve for x
    x = 202,296,638.81/20,588.64
  6. Step 6: Final answer
    x = 9,825.64

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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.