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Finding the Fourth Proportional to 18,258, 27,389.16 and 5,946

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Solution

The fourth proportional to 18,258, 27,389.16 and 5,946 is: 8,919.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,258 : 27,389.16 = 5,946 : x
  2. Step 2: Convert to fraction form
    18,258/27,389.16 = 5,946/x
  3. Step 3: Cross multiply
    18,258x = 27,389.16 × 5,946
  4. Step 4: Simplify right side
    18,258x = 162,855,945.36
  5. Step 5: Solve for x
    x = 162,855,945.36/18,258
  6. Step 6: Final answer
    x = 8,919.70

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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.