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Finding the Fourth Proportional to 21,474, 29,647.08 and 14,034.96

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Solution

The fourth proportional to 21,474, 29,647.08 and 14,034.96 is: 19,376.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,474 : 29,647.08 = 14,034.96 : x
  2. Step 2: Convert to fraction form
    21,474/29,647.08 = 14,034.96/x
  3. Step 3: Cross multiply
    21,474x = 29,647.08 × 14,034.96
  4. Step 4: Simplify right side
    21,474x = 416,095,581.92
  5. Step 5: Solve for x
    x = 416,095,581.92/21,474
  6. Step 6: Final answer
    x = 19,376.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.