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Finding the Fourth Proportional to 8,330, 12,495.48 and 4,171.04

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Solution

The fourth proportional to 8,330, 12,495.48 and 4,171.04 is: 6,256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330 : 12,495.48 = 4,171.04 : x
  2. Step 2: Convert to fraction form
    8,330/12,495.48 = 4,171.04/x
  3. Step 3: Cross multiply
    8,330x = 12,495.48 × 4,171.04
  4. Step 4: Simplify right side
    8,330x = 52,119,146.90
  5. Step 5: Solve for x
    x = 52,119,146.90/8,330
  6. Step 6: Final answer
    x = 6,256.80

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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.