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Finding the Fourth Proportional to 8,190, 11,302.20 and 4,464

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Solution

The fourth proportional to 8,190, 11,302.20 and 4,464 is: 6,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190 : 11,302.20 = 4,464 : x
  2. Step 2: Convert to fraction form
    8,190/11,302.20 = 4,464/x
  3. Step 3: Cross multiply
    8,190x = 11,302.20 × 4,464
  4. Step 4: Simplify right side
    8,190x = 50,453,020.80
  5. Step 5: Solve for x
    x = 50,453,020.80/8,190
  6. Step 6: Final answer
    x = 6,160.32

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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.