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Finding the Fourth Proportional to 20,475.99, 30,714.60 and 5,686

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Solution

The fourth proportional to 20,475.99, 30,714.60 and 5,686 is: 8,529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475.99 : 30,714.60 = 5,686 : x
  2. Step 2: Convert to fraction form
    20,475.99/30,714.60 = 5,686/x
  3. Step 3: Cross multiply
    20,475.99x = 30,714.60 × 5,686
  4. Step 4: Simplify right side
    20,475.99x = 174,643,201.39
  5. Step 5: Solve for x
    x = 174,643,201.39/20,475.99
  6. Step 6: Final answer
    x = 8,529.17

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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.