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Finding the Fourth Proportional to 8,391.84, 11,580.49 and 4,615

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Solution

The fourth proportional to 8,391.84, 11,580.49 and 4,615 is: 6,368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.84 : 11,580.49 = 4,615 : x
  2. Step 2: Convert to fraction form
    8,391.84/11,580.49 = 4,615/x
  3. Step 3: Cross multiply
    8,391.84x = 11,580.49 × 4,615
  4. Step 4: Simplify right side
    8,391.84x = 53,443,961.35
  5. Step 5: Solve for x
    x = 53,443,961.35/8,391.84
  6. Step 6: Final answer
    x = 6,368.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.