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Finding the Fourth Proportional to 11,915.64, 17,861.31 and 9,698.88

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Solution

The fourth proportional to 11,915.64, 17,861.31 and 9,698.88 is: 14,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.64 : 17,861.31 = 9,698.88 : x
  2. Step 2: Convert to fraction form
    11,915.64/17,861.31 = 9,698.88/x
  3. Step 3: Cross multiply
    11,915.64x = 17,861.31 × 9,698.88
  4. Step 4: Simplify right side
    11,915.64x = 173,234,702.33
  5. Step 5: Solve for x
    x = 173,234,702.33/11,915.64
  6. Step 6: Final answer
    x = 14,538.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.