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Finding the Fourth Proportional to 19,250.64, 28,858.68 and 6,930

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Solution

The fourth proportional to 19,250.64, 28,858.68 and 6,930 is: 10,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,250.64 : 28,858.68 = 6,930 : x
  2. Step 2: Convert to fraction form
    19,250.64/28,858.68 = 6,930/x
  3. Step 3: Cross multiply
    19,250.64x = 28,858.68 × 6,930
  4. Step 4: Simplify right side
    19,250.64x = 199,990,652.40
  5. Step 5: Solve for x
    x = 199,990,652.40/19,250.64
  6. Step 6: Final answer
    x = 10,388.78

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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.