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Finding the Fourth Proportional to 11,214, 15,475.80 and 6,246

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Solution

The fourth proportional to 11,214, 15,475.80 and 6,246 is: 8,619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214 : 15,475.80 = 6,246 : x
  2. Step 2: Convert to fraction form
    11,214/15,475.80 = 6,246/x
  3. Step 3: Cross multiply
    11,214x = 15,475.80 × 6,246
  4. Step 4: Simplify right side
    11,214x = 96,661,846.80
  5. Step 5: Solve for x
    x = 96,661,846.80/11,214
  6. Step 6: Final answer
    x = 8,619.75

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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.