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Finding the Fourth Proportional to 27,972, 41,901.72 and 12,958.08

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Solution

The fourth proportional to 27,972, 41,901.72 and 12,958.08 is: 19,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,972 : 41,901.72 = 12,958.08 : x
  2. Step 2: Convert to fraction form
    27,972/41,901.72 = 12,958.08/x
  3. Step 3: Cross multiply
    27,972x = 41,901.72 × 12,958.08
  4. Step 4: Simplify right side
    27,972x = 542,965,839.90
  5. Step 5: Solve for x
    x = 542,965,839.90/27,972
  6. Step 6: Final answer
    x = 19,411.05

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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.