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Finding the Fourth Proportional to 20,655.78, 30,986.44 and 7,511.92

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Solution

The fourth proportional to 20,655.78, 30,986.44 and 7,511.92 is: 11,268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,655.78 : 30,986.44 = 7,511.92 : x
  2. Step 2: Convert to fraction form
    20,655.78/30,986.44 = 7,511.92/x
  3. Step 3: Cross multiply
    20,655.78x = 30,986.44 × 7,511.92
  4. Step 4: Simplify right side
    20,655.78x = 232,767,658.36
  5. Step 5: Solve for x
    x = 232,767,658.36/20,655.78
  6. Step 6: Final answer
    x = 11,268.89

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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.