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Finding the Fourth Proportional to 13,505.00, 18,636.01 and 8,469

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Solution

The fourth proportional to 13,505.00, 18,636.01 and 8,469 is: 11,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.00 : 18,636.01 = 8,469 : x
  2. Step 2: Convert to fraction form
    13,505.00/18,636.01 = 8,469/x
  3. Step 3: Cross multiply
    13,505.00x = 18,636.01 × 8,469
  4. Step 4: Simplify right side
    13,505.00x = 157,828,347.52
  5. Step 5: Solve for x
    x = 157,828,347.52/13,505.00
  6. Step 6: Final answer
    x = 11,686.66

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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.