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Finding the Fourth Proportional to 12,096.64, 16,691.20 and 7,315.20

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Solution

The fourth proportional to 12,096.64, 16,691.20 and 7,315.20 is: 10,093.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.64 : 16,691.20 = 7,315.20 : x
  2. Step 2: Convert to fraction form
    12,096.64/16,691.20 = 7,315.20/x
  3. Step 3: Cross multiply
    12,096.64x = 16,691.20 × 7,315.20
  4. Step 4: Simplify right side
    12,096.64x = 122,099,466.24
  5. Step 5: Solve for x
    x = 122,099,466.24/12,096.64
  6. Step 6: Final answer
    x = 10,093.67

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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.