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Finding the Fourth Proportional to 13,697.77, 18,896.44 and 8,915.97

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Solution

The fourth proportional to 13,697.77, 18,896.44 and 8,915.97 is: 12,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.77 : 18,896.44 = 8,915.97 : x
  2. Step 2: Convert to fraction form
    13,697.77/18,896.44 = 8,915.97/x
  3. Step 3: Cross multiply
    13,697.77x = 18,896.44 × 8,915.97
  4. Step 4: Simplify right side
    13,697.77x = 168,480,157.44
  5. Step 5: Solve for x
    x = 168,480,157.44/13,697.77
  6. Step 6: Final answer
    x = 12,299.82

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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.