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Finding the Fourth Proportional to 20,278, 30,416.86 and 5,488.44

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Solution

The fourth proportional to 20,278, 30,416.86 and 5,488.44 is: 8,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,278 : 30,416.86 = 5,488.44 : x
  2. Step 2: Convert to fraction form
    20,278/30,416.86 = 5,488.44/x
  3. Step 3: Cross multiply
    20,278x = 30,416.86 × 5,488.44
  4. Step 4: Simplify right side
    20,278x = 166,941,111.10
  5. Step 5: Solve for x
    x = 166,941,111.10/20,278
  6. Step 6: Final answer
    x = 8,232.62

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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.