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Finding the Fourth Proportional to 8,355, 12,532.50 and 2,883

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Solution

The fourth proportional to 8,355, 12,532.50 and 2,883 is: 4,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355 : 12,532.50 = 2,883 : x
  2. Step 2: Convert to fraction form
    8,355/12,532.50 = 2,883/x
  3. Step 3: Cross multiply
    8,355x = 12,532.50 × 2,883
  4. Step 4: Simplify right side
    8,355x = 36,131,197.50
  5. Step 5: Solve for x
    x = 36,131,197.50/8,355
  6. Step 6: Final answer
    x = 4,324.50

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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.