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Finding the Fourth Proportional to 20,446, 28,215.48 and 11,493.40

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Solution

The fourth proportional to 20,446, 28,215.48 and 11,493.40 is: 15,860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,446 : 28,215.48 = 11,493.40 : x
  2. Step 2: Convert to fraction form
    20,446/28,215.48 = 11,493.40/x
  3. Step 3: Cross multiply
    20,446x = 28,215.48 × 11,493.40
  4. Step 4: Simplify right side
    20,446x = 324,291,797.83
  5. Step 5: Solve for x
    x = 324,291,797.83/20,446
  6. Step 6: Final answer
    x = 15,860.89

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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.