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Finding the Fourth Proportional to 11,205.78, 15,465 and 6,171.02

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Solution

The fourth proportional to 11,205.78, 15,465 and 6,171.02 is: 8,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.78 : 15,465 = 6,171.02 : x
  2. Step 2: Convert to fraction form
    11,205.78/15,465 = 6,171.02/x
  3. Step 3: Cross multiply
    11,205.78x = 15,465 × 6,171.02
  4. Step 4: Simplify right side
    11,205.78x = 95,434,824.30
  5. Step 5: Solve for x
    x = 95,434,824.30/11,205.78
  6. Step 6: Final answer
    x = 8,516.57

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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.