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Finding the Fourth Proportional to 18,387, 27,580.77 and 4,536

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Solution

The fourth proportional to 18,387, 27,580.77 and 4,536 is: 6,804.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,387 : 27,580.77 = 4,536 : x
  2. Step 2: Convert to fraction form
    18,387/27,580.77 = 4,536/x
  3. Step 3: Cross multiply
    18,387x = 27,580.77 × 4,536
  4. Step 4: Simplify right side
    18,387x = 125,106,372.72
  5. Step 5: Solve for x
    x = 125,106,372.72/18,387
  6. Step 6: Final answer
    x = 6,804.07

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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.