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Finding the Fourth Proportional to 28,646.78, 42,855.30 and 23,726

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Solution

The fourth proportional to 28,646.78, 42,855.30 and 23,726 is: 35,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,646.78 : 42,855.30 = 23,726 : x
  2. Step 2: Convert to fraction form
    28,646.78/42,855.30 = 23,726/x
  3. Step 3: Cross multiply
    28,646.78x = 42,855.30 × 23,726
  4. Step 4: Simplify right side
    28,646.78x = 1,016,784,847.80
  5. Step 5: Solve for x
    x = 1,016,784,847.80/28,646.78
  6. Step 6: Final answer
    x = 35,493.86

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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.