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Finding the Fourth Proportional to 10,920.78, 16,381.16 and 4,676.73

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Solution

The fourth proportional to 10,920.78, 16,381.16 and 4,676.73 is: 7,015.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.78 : 16,381.16 = 4,676.73 : x
  2. Step 2: Convert to fraction form
    10,920.78/16,381.16 = 4,676.73/x
  3. Step 3: Cross multiply
    10,920.78x = 16,381.16 × 4,676.73
  4. Step 4: Simplify right side
    10,920.78x = 76,610,239.02
  5. Step 5: Solve for x
    x = 76,610,239.02/10,920.78
  6. Step 6: Final answer
    x = 7,015.09

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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.