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Finding the Fourth Proportional to 11,515.76, 15,899.40 and 8,858.48

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Solution

The fourth proportional to 11,515.76, 15,899.40 and 8,858.48 is: 12,230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.76 : 15,899.40 = 8,858.48 : x
  2. Step 2: Convert to fraction form
    11,515.76/15,899.40 = 8,858.48/x
  3. Step 3: Cross multiply
    11,515.76x = 15,899.40 × 8,858.48
  4. Step 4: Simplify right side
    11,515.76x = 140,844,516.91
  5. Step 5: Solve for x
    x = 140,844,516.91/11,515.76
  6. Step 6: Final answer
    x = 12,230.59

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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.