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Finding the Fourth Proportional to 10,920.74, 16,381.10 and 4,676.72

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Solution

The fourth proportional to 10,920.74, 16,381.10 and 4,676.72 is: 7,015.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.74 : 16,381.10 = 4,676.72 : x
  2. Step 2: Convert to fraction form
    10,920.74/16,381.10 = 4,676.72/x
  3. Step 3: Cross multiply
    10,920.74x = 16,381.10 × 4,676.72
  4. Step 4: Simplify right side
    10,920.74x = 76,609,747.78
  5. Step 5: Solve for x
    x = 76,609,747.78/10,920.74
  6. Step 6: Final answer
    x = 7,015.07

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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.