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Finding the Fourth Proportional to 13,486.41, 18,594.70 and 11,088

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Solution

The fourth proportional to 13,486.41, 18,594.70 and 11,088 is: 15,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.41 : 18,594.70 = 11,088 : x
  2. Step 2: Convert to fraction form
    13,486.41/18,594.70 = 11,088/x
  3. Step 3: Cross multiply
    13,486.41x = 18,594.70 × 11,088
  4. Step 4: Simplify right side
    13,486.41x = 206,178,005.88
  5. Step 5: Solve for x
    x = 206,178,005.88/13,486.41
  6. Step 6: Final answer
    x = 15,287.83

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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.