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Finding the Fourth Proportional to 27,006.30, 40,521.60 and 12,207.60

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Solution

The fourth proportional to 27,006.30, 40,521.60 and 12,207.60 is: 18,316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,006.30 : 40,521.60 = 12,207.60 : x
  2. Step 2: Convert to fraction form
    27,006.30/40,521.60 = 12,207.60/x
  3. Step 3: Cross multiply
    27,006.30x = 40,521.60 × 12,207.60
  4. Step 4: Simplify right side
    27,006.30x = 494,671,484.16
  5. Step 5: Solve for x
    x = 494,671,484.16/27,006.30
  6. Step 6: Final answer
    x = 18,316.89

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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.