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Finding the Fourth Proportional to 28,897, 43,345.50 and 8,120.50

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Solution

The fourth proportional to 28,897, 43,345.50 and 8,120.50 is: 12,180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,897 : 43,345.50 = 8,120.50 : x
  2. Step 2: Convert to fraction form
    28,897/43,345.50 = 8,120.50/x
  3. Step 3: Cross multiply
    28,897x = 43,345.50 × 8,120.50
  4. Step 4: Simplify right side
    28,897x = 351,987,132.75
  5. Step 5: Solve for x
    x = 351,987,132.75/28,897
  6. Step 6: Final answer
    x = 12,180.75

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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.