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Finding the Fourth Proportional to 12,915.12, 17,822.88 and 8,446.44

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Solution

The fourth proportional to 12,915.12, 17,822.88 and 8,446.44 is: 11,656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915.12 : 17,822.88 = 8,446.44 : x
  2. Step 2: Convert to fraction form
    12,915.12/17,822.88 = 8,446.44/x
  3. Step 3: Cross multiply
    12,915.12x = 17,822.88 × 8,446.44
  4. Step 4: Simplify right side
    12,915.12x = 150,539,886.55
  5. Step 5: Solve for x
    x = 150,539,886.55/12,915.12
  6. Step 6: Final answer
    x = 11,656.10

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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.