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Finding the Fourth Proportional to 21,633.64, 32,502.30 and 13,857.64

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Solution

The fourth proportional to 21,633.64, 32,502.30 and 13,857.64 is: 20,819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,633.64 : 32,502.30 = 13,857.64 : x
  2. Step 2: Convert to fraction form
    21,633.64/32,502.30 = 13,857.64/x
  3. Step 3: Cross multiply
    21,633.64x = 32,502.30 × 13,857.64
  4. Step 4: Simplify right side
    21,633.64x = 450,405,172.57
  5. Step 5: Solve for x
    x = 450,405,172.57/21,633.64
  6. Step 6: Final answer
    x = 20,819.67

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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.