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Finding the Fourth Proportional to 20,581, 28,408.74 and 12,825.88

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Solution

The fourth proportional to 20,581, 28,408.74 and 12,825.88 is: 17,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,581 : 28,408.74 = 12,825.88 : x
  2. Step 2: Convert to fraction form
    20,581/28,408.74 = 12,825.88/x
  3. Step 3: Cross multiply
    20,581x = 28,408.74 × 12,825.88
  4. Step 4: Simplify right side
    20,581x = 364,367,090.19
  5. Step 5: Solve for x
    x = 364,367,090.19/20,581
  6. Step 6: Final answer
    x = 17,704.05

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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.