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Finding the Fourth Proportional to 18,585, 27,887.06 and 12,349.32

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Solution

The fourth proportional to 18,585, 27,887.06 and 12,349.32 is: 18,530.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,585 : 27,887.06 = 12,349.32 : x
  2. Step 2: Convert to fraction form
    18,585/27,887.06 = 12,349.32/x
  3. Step 3: Cross multiply
    18,585x = 27,887.06 × 12,349.32
  4. Step 4: Simplify right side
    18,585x = 344,386,227.80
  5. Step 5: Solve for x
    x = 344,386,227.80/18,585
  6. Step 6: Final answer
    x = 18,530.33

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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.