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Finding the Fourth Proportional to 38,877.72, 58,302.24 and 13,911

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Solution

The fourth proportional to 38,877.72, 58,302.24 and 13,911 is: 20,861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,877.72 : 58,302.24 = 13,911 : x
  2. Step 2: Convert to fraction form
    38,877.72/58,302.24 = 13,911/x
  3. Step 3: Cross multiply
    38,877.72x = 58,302.24 × 13,911
  4. Step 4: Simplify right side
    38,877.72x = 811,042,460.64
  5. Step 5: Solve for x
    x = 811,042,460.64/38,877.72
  6. Step 6: Final answer
    x = 20,861.37

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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.