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Finding the Fourth Proportional to 20,471.30, 30,714.20 and 11,713.58

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Solution

The fourth proportional to 20,471.30, 30,714.20 and 11,713.58 is: 17,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.30 : 30,714.20 = 11,713.58 : x
  2. Step 2: Convert to fraction form
    20,471.30/30,714.20 = 11,713.58/x
  3. Step 3: Cross multiply
    20,471.30x = 30,714.20 × 11,713.58
  4. Step 4: Simplify right side
    20,471.30x = 359,773,114.55
  5. Step 5: Solve for x
    x = 359,773,114.55/20,471.30
  6. Step 6: Final answer
    x = 17,574.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.