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Finding the Fourth Proportional to 45,315.88, 67,875.22 and 21,893

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Solution

The fourth proportional to 45,315.88, 67,875.22 and 21,893 is: 32,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,315.88 : 67,875.22 = 21,893 : x
  2. Step 2: Convert to fraction form
    45,315.88/67,875.22 = 21,893/x
  3. Step 3: Cross multiply
    45,315.88x = 67,875.22 × 21,893
  4. Step 4: Simplify right side
    45,315.88x = 1,485,992,191.46
  5. Step 5: Solve for x
    x = 1,485,992,191.46/45,315.88
  6. Step 6: Final answer
    x = 32,791.86

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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.