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Finding the Fourth Proportional to 18,417.96, 27,630.78 and 6,105

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Solution

The fourth proportional to 18,417.96, 27,630.78 and 6,105 is: 9,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,417.96 : 27,630.78 = 6,105 : x
  2. Step 2: Convert to fraction form
    18,417.96/27,630.78 = 6,105/x
  3. Step 3: Cross multiply
    18,417.96x = 27,630.78 × 6,105
  4. Step 4: Simplify right side
    18,417.96x = 168,685,911.90
  5. Step 5: Solve for x
    x = 168,685,911.90/18,417.96
  6. Step 6: Final answer
    x = 9,158.77

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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.