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Finding the Fourth Proportional to 10,956, 16,440.48 and 4,715.84

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Solution

The fourth proportional to 10,956, 16,440.48 and 4,715.84 is: 7,076.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956 : 16,440.48 = 4,715.84 : x
  2. Step 2: Convert to fraction form
    10,956/16,440.48 = 4,715.84/x
  3. Step 3: Cross multiply
    10,956x = 16,440.48 × 4,715.84
  4. Step 4: Simplify right side
    10,956x = 77,530,673.20
  5. Step 5: Solve for x
    x = 77,530,673.20/10,956
  6. Step 6: Final answer
    x = 7,076.55

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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.