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Finding the Fourth Proportional to 20,714.43, 28,586.22 and 11,283

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Solution

The fourth proportional to 20,714.43, 28,586.22 and 11,283 is: 15,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.43 : 28,586.22 = 11,283 : x
  2. Step 2: Convert to fraction form
    20,714.43/28,586.22 = 11,283/x
  3. Step 3: Cross multiply
    20,714.43x = 28,586.22 × 11,283
  4. Step 4: Simplify right side
    20,714.43x = 322,538,320.26
  5. Step 5: Solve for x
    x = 322,538,320.26/20,714.43
  6. Step 6: Final answer
    x = 15,570.71

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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.