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Finding the Fourth Proportional to 20,312.88, 30,458 and 6,268.92

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Solution

The fourth proportional to 20,312.88, 30,458 and 6,268.92 is: 9,399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,312.88 : 30,458 = 6,268.92 : x
  2. Step 2: Convert to fraction form
    20,312.88/30,458 = 6,268.92/x
  3. Step 3: Cross multiply
    20,312.88x = 30,458 × 6,268.92
  4. Step 4: Simplify right side
    20,312.88x = 190,938,765.36
  5. Step 5: Solve for x
    x = 190,938,765.36/20,312.88
  6. Step 6: Final answer
    x = 9,399.89

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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.