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Finding the Fourth Proportional to 11,568.64, 17,380.64 and 7,416.76

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Solution

The fourth proportional to 11,568.64, 17,380.64 and 7,416.76 is: 11,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.64 : 17,380.64 = 7,416.76 : x
  2. Step 2: Convert to fraction form
    11,568.64/17,380.64 = 7,416.76/x
  3. Step 3: Cross multiply
    11,568.64x = 17,380.64 × 7,416.76
  4. Step 4: Simplify right side
    11,568.64x = 128,908,035.53
  5. Step 5: Solve for x
    x = 128,908,035.53/11,568.64
  6. Step 6: Final answer
    x = 11,142.89

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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.