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Finding the Fourth Proportional to 20,281.42, 30,348.12 and 11,965.42

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Solution

The fourth proportional to 20,281.42, 30,348.12 and 11,965.42 is: 17,904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281.42 : 30,348.12 = 11,965.42 : x
  2. Step 2: Convert to fraction form
    20,281.42/30,348.12 = 11,965.42/x
  3. Step 3: Cross multiply
    20,281.42x = 30,348.12 × 11,965.42
  4. Step 4: Simplify right side
    20,281.42x = 363,128,002.01
  5. Step 5: Solve for x
    x = 363,128,002.01/20,281.42
  6. Step 6: Final answer
    x = 17,904.47

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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.