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Finding the Fourth Proportional to 8,073.40, 12,128.32 and 4,788.65

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Solution

The fourth proportional to 8,073.40, 12,128.32 and 4,788.65 is: 7,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.40 : 12,128.32 = 4,788.65 : x
  2. Step 2: Convert to fraction form
    8,073.40/12,128.32 = 4,788.65/x
  3. Step 3: Cross multiply
    8,073.40x = 12,128.32 × 4,788.65
  4. Step 4: Simplify right side
    8,073.40x = 58,078,206.95
  5. Step 5: Solve for x
    x = 58,078,206.95/8,073.40
  6. Step 6: Final answer
    x = 7,193.78

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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.