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Finding the Fourth Proportional to 13,582, 18,736.78 and 9,605.31

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Solution

The fourth proportional to 13,582, 18,736.78 and 9,605.31 is: 13,250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582 : 18,736.78 = 9,605.31 : x
  2. Step 2: Convert to fraction form
    13,582/18,736.78 = 9,605.31/x
  3. Step 3: Cross multiply
    13,582x = 18,736.78 × 9,605.31
  4. Step 4: Simplify right side
    13,582x = 179,972,580.30
  5. Step 5: Solve for x
    x = 179,972,580.30/13,582
  6. Step 6: Final answer
    x = 13,250.82

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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.