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Finding the Fourth Proportional to 21,034.91, 29,027.08 and 13,077

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Solution

The fourth proportional to 21,034.91, 29,027.08 and 13,077 is: 18,045.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,034.91 : 29,027.08 = 13,077 : x
  2. Step 2: Convert to fraction form
    21,034.91/29,027.08 = 13,077/x
  3. Step 3: Cross multiply
    21,034.91x = 29,027.08 × 13,077
  4. Step 4: Simplify right side
    21,034.91x = 379,587,125.16
  5. Step 5: Solve for x
    x = 379,587,125.16/21,034.91
  6. Step 6: Final answer
    x = 18,045.58

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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.