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Finding the Fourth Proportional to 55,277, 82,915.50 and 13,724

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Solution

The fourth proportional to 55,277, 82,915.50 and 13,724 is: 20,586

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,277 : 82,915.50 = 13,724 : x
  2. Step 2: Convert to fraction form
    55,277/82,915.50 = 13,724/x
  3. Step 3: Cross multiply
    55,277x = 82,915.50 × 13,724
  4. Step 4: Simplify right side
    55,277x = 1,137,932,322
  5. Step 5: Solve for x
    x = 1,137,932,322/55,277
  6. Step 6: Final answer
    x = 20,586

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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.