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Finding the Fourth Proportional to 27,672, 41,507.58 and 12,872.64

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Solution

The fourth proportional to 27,672, 41,507.58 and 12,872.64 is: 19,308.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672 : 41,507.58 = 12,872.64 : x
  2. Step 2: Convert to fraction form
    27,672/41,507.58 = 12,872.64/x
  3. Step 3: Cross multiply
    27,672x = 41,507.58 × 12,872.64
  4. Step 4: Simplify right side
    27,672x = 534,312,134.61
  5. Step 5: Solve for x
    x = 534,312,134.61/27,672
  6. Step 6: Final answer
    x = 19,308.76

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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.