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Finding the Fourth Proportional to 11,856.32, 16,361.53 and 6,478.64

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Solution

The fourth proportional to 11,856.32, 16,361.53 and 6,478.64 is: 8,940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.32 : 16,361.53 = 6,478.64 : x
  2. Step 2: Convert to fraction form
    11,856.32/16,361.53 = 6,478.64/x
  3. Step 3: Cross multiply
    11,856.32x = 16,361.53 × 6,478.64
  4. Step 4: Simplify right side
    11,856.32x = 106,000,554.55
  5. Step 5: Solve for x
    x = 106,000,554.55/11,856.32
  6. Step 6: Final answer
    x = 8,940.42

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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.