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Finding the Fourth Proportional to 18,581.86, 27,880.59 and 11,567.74

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Solution

The fourth proportional to 18,581.86, 27,880.59 and 11,567.74 is: 17,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,581.86 : 27,880.59 = 11,567.74 : x
  2. Step 2: Convert to fraction form
    18,581.86/27,880.59 = 11,567.74/x
  3. Step 3: Cross multiply
    18,581.86x = 27,880.59 × 11,567.74
  4. Step 4: Simplify right side
    18,581.86x = 322,515,346.47
  5. Step 5: Solve for x
    x = 322,515,346.47/18,581.86
  6. Step 6: Final answer
    x = 17,356.46

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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.