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Finding the Fourth Proportional to 27,030, 40,546.84 and 8,308.88

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Solution

The fourth proportional to 27,030, 40,546.84 and 8,308.88 is: 12,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,030 : 40,546.84 = 8,308.88 : x
  2. Step 2: Convert to fraction form
    27,030/40,546.84 = 8,308.88/x
  3. Step 3: Cross multiply
    27,030x = 40,546.84 × 8,308.88
  4. Step 4: Simplify right side
    27,030x = 336,898,827.94
  5. Step 5: Solve for x
    x = 336,898,827.94/27,030
  6. Step 6: Final answer
    x = 12,463.89

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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.