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Finding the Fourth Proportional to 11,085, 15,284.70 and 8,257.28

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Solution

The fourth proportional to 11,085, 15,284.70 and 8,257.28 is: 11,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,085 : 15,284.70 = 8,257.28 : x
  2. Step 2: Convert to fraction form
    11,085/15,284.70 = 8,257.28/x
  3. Step 3: Cross multiply
    11,085x = 15,284.70 × 8,257.28
  4. Step 4: Simplify right side
    11,085x = 126,210,047.62
  5. Step 5: Solve for x
    x = 126,210,047.62/11,085
  6. Step 6: Final answer
    x = 11,385.66

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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.