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Finding the Fourth Proportional to 18,586, 27,881.60 and 5,439.32

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Solution

The fourth proportional to 18,586, 27,881.60 and 5,439.32 is: 8,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,586 : 27,881.60 = 5,439.32 : x
  2. Step 2: Convert to fraction form
    18,586/27,881.60 = 5,439.32/x
  3. Step 3: Cross multiply
    18,586x = 27,881.60 × 5,439.32
  4. Step 4: Simplify right side
    18,586x = 151,656,944.51
  5. Step 5: Solve for x
    x = 151,656,944.51/18,586
  6. Step 6: Final answer
    x = 8,159.74

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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.