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Finding the Fourth Proportional to 18,506.64, 27,769.08 and 8,646.62

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Solution

The fourth proportional to 18,506.64, 27,769.08 and 8,646.62 is: 12,974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506.64 : 27,769.08 = 8,646.62 : x
  2. Step 2: Convert to fraction form
    18,506.64/27,769.08 = 8,646.62/x
  3. Step 3: Cross multiply
    18,506.64x = 27,769.08 × 8,646.62
  4. Step 4: Simplify right side
    18,506.64x = 240,108,682.51
  5. Step 5: Solve for x
    x = 240,108,682.51/18,506.64
  6. Step 6: Final answer
    x = 12,974.19

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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.