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Finding the Fourth Proportional to 28,089, 42,140.43 and 8,367.48

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Solution

The fourth proportional to 28,089, 42,140.43 and 8,367.48 is: 12,553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,089 : 42,140.43 = 8,367.48 : x
  2. Step 2: Convert to fraction form
    28,089/42,140.43 = 8,367.48/x
  3. Step 3: Cross multiply
    28,089x = 42,140.43 × 8,367.48
  4. Step 4: Simplify right side
    28,089x = 352,609,205.22
  5. Step 5: Solve for x
    x = 352,609,205.22/28,089
  6. Step 6: Final answer
    x = 12,553.28

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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.