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Finding the Fourth Proportional to 8,391.60, 12,588 and 3,463.56

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Solution

The fourth proportional to 8,391.60, 12,588 and 3,463.56 is: 5,195.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.60 : 12,588 = 3,463.56 : x
  2. Step 2: Convert to fraction form
    8,391.60/12,588 = 3,463.56/x
  3. Step 3: Cross multiply
    8,391.60x = 12,588 × 3,463.56
  4. Step 4: Simplify right side
    8,391.60x = 43,599,293.28
  5. Step 5: Solve for x
    x = 43,599,293.28/8,391.60
  6. Step 6: Final answer
    x = 5,195.59

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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.