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Finding the Fourth Proportional to 20,575, 28,394.72 and 11,622.27

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Solution

The fourth proportional to 20,575, 28,394.72 and 11,622.27 is: 16,039.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575 : 28,394.72 = 11,622.27 : x
  2. Step 2: Convert to fraction form
    20,575/28,394.72 = 11,622.27/x
  3. Step 3: Cross multiply
    20,575x = 28,394.72 × 11,622.27
  4. Step 4: Simplify right side
    20,575x = 330,011,102.41
  5. Step 5: Solve for x
    x = 330,011,102.41/20,575
  6. Step 6: Final answer
    x = 16,039.42

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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.