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Finding the Fourth Proportional to 11,255.25, 15,532.25 and 6,287.25

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Solution

The fourth proportional to 11,255.25, 15,532.25 and 6,287.25 is: 8,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,255.25 : 15,532.25 = 6,287.25 : x
  2. Step 2: Convert to fraction form
    11,255.25/15,532.25 = 6,287.25/x
  3. Step 3: Cross multiply
    11,255.25x = 15,532.25 × 6,287.25
  4. Step 4: Simplify right side
    11,255.25x = 97,655,107.38
  5. Step 5: Solve for x
    x = 97,655,107.38/11,255.25
  6. Step 6: Final answer
    x = 8,676.41

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1.5x scale

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.