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Finding the Fourth Proportional to 21,644.33, 32,421.03 and 13,742.80

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Solution

The fourth proportional to 21,644.33, 32,421.03 and 13,742.80 is: 20,585.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,644.33 : 32,421.03 = 13,742.80 : x
  2. Step 2: Convert to fraction form
    21,644.33/32,421.03 = 13,742.80/x
  3. Step 3: Cross multiply
    21,644.33x = 32,421.03 × 13,742.80
  4. Step 4: Simplify right side
    21,644.33x = 445,555,598.50
  5. Step 5: Solve for x
    x = 445,555,598.50/21,644.33
  6. Step 6: Final answer
    x = 20,585.33

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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.